Bold part is just not true, wizards get more castings than sorcerers, sorcerers at best can reach the same number of castings at certain levels. First level wizard, has two slots -same as the sorcerer- and can regain one -something the sorcerer cannot do until 2nd level- not to mention ritual casting. The number of castings is even further reduced at alter levels, as sorcerer points are used to power metamagic and thus cannot be used to cast more spells.
This is also not true...or at best hyperbole.
Flexible Spellcasting, page 101. You absolutely can use your spell points to get more slots...and/or burn slots to give yourself more spell points to use metamagic with. This, obviously, doesn't have any baring on your spell known. But it gives you comparable castings.
Those are player-point options/choices. Your sorcerer can "make more magic" or "make the magic I have do this cool trick I figured out". Those are options you get to play with for choosing to be a sorcerer. There is nothing "wrong" with the sorcerer's casting/slots/spells known because of this.
So while, yes, you have to wait alll the way to 2nd level before you can get an extra casting, the wizard is hardly running away with the casting.
Ritual casting is nice, to be sure. But it is only applicable to spells, in their spellbook, with the ritual tag...so the wizard must 1) have the spell to begin with, and 2) have the time to use/cast it "as a ritual." While the wizard hunts down useful rituals to learn or spending their 10 minutes-hour chanting away to float the treasure out of the dungeon, the sorcerer is busy metamagicking their spells known to blast the oncoming orcs before they slay the whole party. Again, not exactly pressing the sorcerer's face in the mud.
And at later levels wizards get at-will magic of 1st to 3rd level.
At
18th level they get 1 1st and 1 2nd
at their 1st and 2nd slot power level at will, yes. How useful do you think that will be to an 18th level party? Sure, the wizard can auto-featherfal' or auto-detect magic or auto-invisible...or auto-spam-attack-spells doing next to no damage against 18+ level foes. How game-breaky is that going to be to an 18th level game? How "unbalanced" or "unfair" to the sorcerer is that?
At
20th level they get 2 3rd they can cast,
as 3rd level slots once without preparation. The fluff is you "always know them"/they don't count against your prepared spells for the day...not that they can be cast all day at will, just that you know them automatically. This is not exactly something to 'cry havoc' about.
Now, if this is simply, I should be able to cast MOAR [as much as a wizard]! Then there is no pleasing sorcerer fans.
Also quantity is not the same as quality, Sorcerers get a "huge" list, but most of these spells are only sixty different ways to fry a kobold.
So, now, the argument/target/goal post is they should be given more spell castings
slots or more spells
known? And/or more versatile spell options in their spell lists?
What's going to "fix" these poor poor sorcerers?
Again, complete hyperbole.
Sorcerers have [cantrips] Dancing Lights, Friends, Mage Hand and Message, [1st] Detect Magic, Charm Person, Featherfall, Expeditious Retreat, [2nd] Alter Self, Darkvision, Knock, Levitate, [3rd] Clairvoyance, Fly, Tongues, Water Breathing...and that's not even scratching the surface at only 4 possibilities each spell level.
There is no "quality/mostly blasty spells" argument to be made.
And a wizard can have prepared more spells than you'll ever know, how is that balanced?
Let's take, say, 5th level PCs...all other things being equal...
Wizard:
Spells Prepared: 5 + Int. mod., so...what...with a hypothetical +5 Int. mod., no more than 10.
Spell Slots: [4 1st/3 2nd/2 3rd] = 9 spell castings + Arcane Recovery (
if it gets used, as [rounded up] 3rd level) for additional 4 1st, 2 2nd = 6 castings...Note that these are
expended slots! You can recover
up to 4 1st and 2 2nd slots
if you've already cast them. So there is no guarantee [and extremely unlikely on a daily basis] a wizard could regain all of these slots. But let's just say they do.
Total castings per day: 15.
Spell choices to have at-the-ready: 10.
Sorcerer:
Spells Known: 6.
Spell Slots: [4 1st/3 2nd/2 3rd] = 9 spell castings + Spell Points: 5 gets you 1 additional 3rd level spell, 1 2nd and 1 1st, or 2 1st + 1 leftover SP for metamagic. So max, 2 extra castings or...
Total castings per day: 11.
Spell choices to have at-the-ready: 6.
Pound for pound, more or less, the sorcerer gets half choices for their total castings.
Proportionally, the wizard gets
a couple [exactly, 2 in the above example] more options. They are the "default" class of the arcane magic-users, the broadest archetype, the largest spectrum of possible characters.
The wizard,, yes, can "change it up" every day by studying different spells from their spellbooks. That's what they do.
The sorcerer can not do that. They can only swap out 1 spell at each level up. That's completely in keeping with the sorcerer's fluff. It's why they're oh so necessary as a separate class: Innate magic-users who know/figured out magic
without study or preparation. That's what they do.
That all makes sense. I'm not willing to say 2 extra spell choices and classes filling their fluffy archetypal bits is unfair/broken/wrong.
That's pretty balanced.