Again, not trying to make this a personal attack, but this shows you have no idea about how to do this. The assumptions that most other magic systems are damage spells, that they are castable at D&D combat speeds, that there aren't drawbacks to casting instead of spell slots and instead want a simple skill system - this really shows that you are vastly underestimating how hard this is to transplant them over while keeping the feel and flow that made you want them in the first place.
Your intent is irrelevant, in this case.
Making a lot of silly assumptions based on my very brief foundation for a magic system in order to tell me I’ve no idea what I’m talking about
is a personal attack, regardless of what you mean to do.
I posited the basis for a replacement magic system. I’m not going to build a whole system to make a point. I don’t owe you that work, unless you want to pay me for it.
So, to address your needless, conclusion-first, assumptions about the proposed system;
No, I’ve not assumed any of those things. Even the action thing is only being assumed for some part of the magic system, because I’m specifically positing a system whose purspose is to replace D&Ds magic system with one that serves the same basic purpose, but in a less restrictive manner. That requires that
some magic be usable in a fight.
If you’d specified specific goals, I’d have given you different answers.
Instead, you gave a completely vague challenge, and when I gave an example, you acted as if I’d suggested that my example could work for any set of goals.
