It really isn't a big problem. Make it so that if they don't have their focus on their person, they need V&S components again.
Boom problem solved next.
Also as you allude to, literally your entire complaint applies worse to Wildshape. Druids can't be restrained in any conventional way. You need magic anti-shapeshifting handcuffs or whatever.
Re: "A better Wizard". Obviously not. You make them less powerful than a full caster. You don't just go "Oh I'll give a Wizard spellpoints lolz!!!!". You give them a smaller spell list, make it harder to acquire spells (disciplines etc.), and make them never get a lot of the most powerful or flashy Wizard spells, maybe never get the equivalent of 8th/9th level spells (or only in a very limited way, like Warlocks). They should also get healing spells, which sounds like a benefit but totally isn't, because it means the character inevitably ends up dumping spell slots/levels into other PCs to help them out, rather than using those spells to blow people up or whatever.
Boom "problem" solved next.
I'm not sure why you feel the need to be so rude and dismissive, it kind of makes it harder to have any sort of discussion about this when I have to stop and take out the jabs and barbs.
I thought part of the point was not needing a focus? So, your first "Boom, problem solved" confuses me. Will they need a focus or not? I thought part of the complaint about Psionics as they have been presented (for example the psionic wizard) was the fact that they included a Psionic focus instead of making it entirely based upon the users mind.
Also, how then would this be different from how the psionic sorcerer is currently presented? They can make a spell not require the V or S components, but can only sometimes remove the M, which means they need a focus. So what about that execution (just for the focus) doesn't work for the Psionics?
As for the second point, it sounds then like you would build their spell list similiar to a Celestial Soul Sorcerer or Celestial Warlock. Healing abilities, limited spells, and unique spell list.
I'd guess the Warlock is really the most likely candidate for the build you are thinking of, since they are the most limited full caster in terms of the number of spells they can cast. Maybe combine with the limits of the Sorcerers spells known?
But, much like the Warlock then, you would need to allow them to cast more often to still be balanced against the other classes. Ironically, this was one of the problems with the Mystic. It could only do low level abiltiies (nothing beyond 6th I think) but it could use far more of them than other "caster" classes which led to a feeling of them being too powerful.
I also fully disagree with you on healing. Gaining access to healing abilities is also a boon to the class or the team. It in no way makes you less powerful, and actually I would argue gives you more power through flexibility.
Ignoring anti-magic and magic resistance? No, they don't. Neither me nor Remathilis suggested they should and even Maxperson agrees it's not necessary, and he has the most extreme views I've ever seen on this. This is a problem you have created by yourself.
Boom problem solved next.
I literally solved all your "problems" here in single-digit minutes.
Apologies if within the hundreds of posts I read back to back, I missed that you had not made that claim. It has been made though, and often follows logically from "Psionics aren't magic"
If they are not magic, then they would not be affected by abilities that effect magic. If you are fine with Psionics being magic, then it isn't an issue, but many people want that distinction.
I posted earlier how that could be balanced. You could make it very slow without a Psicrystal. Let the Psicrystal focus the mental magic so that it works normally, but without it the Psion is taking a -4(or more) penalty to initiative. Maybe make it full round and able to be broken by damage via concentration checks. Let the crystal work similar to the psionic die in the recent UA, but maybe without refresh. If the die hits zero, you are stuck with the slow usage until you get a long rest.
There are other ways to balance a Psion.
I must have missed your earlier post. But I'm a little confused by idea of the initiative penalty.
Do you mean every power would lower you in the initiative? Because that would eventually become just acting last every round, which isn't a problem. And I would find it incredibly weird to have them act, and then the effect happened on a different initiative number. That would be far more complicated than I would want to track and make them hard to use in bigger battles.
Same with the full round ability. Maybe for something big, but what happens if you spend a whole turn focusing on blasting a hobgoblin, only for when the round to be over, your allies killed it. Do you just get a free retarget? And it would be very difficult to play a class that required you to declare your action, then allow an entire round of tactical changes to happen before executing, you'd never be able to react to changes in the battlefield.
I'm not saying these are impossible to use or anything, but it seems to be an odd flavor to have Psionics be slow and cumbersome to utilize. And if the point is they are only that way if you don't have a crystal... well, then it won't matter, because the majority of the time they will have a focus if they need it.
And if it is "have X charges, you can use a charge to act now instead of later" then we are still confronted by how cumbersome and odd acting slowly is in the DnD context.