In a sentence: wizards know more different spells, but sorcerers can cast the spells they know more often.
The sorcerer gets roughly 50% more spell levels from Font of Magic than the wizard gets from Arcane Recovery, and doesn't have to take a short rest to access them.
I don't think it is such a difference that justifies advertising the Sorcerer as someone who casts more spells.
The points-to-slots ratio is different between the two abilities, so that the Wizard gets half her level amount of points and converts them directly into total spell levels, while the Sorcerer gets twice as many points, but has a more favorable conversion for higher-level spells.
So on one extreme, if both convert all their points into lowest-level spell slots (1st level), at even-number levels they get exactly the same number of extra slots, at odd-number levels the Wizard gets one more.
On the other extreme, both converting all their points into highest-level spell slots, until level 13th they both get one extra slot, and from level 14th the Sorcerer gets two extra 5th-level slot (capped) while the Wizard has to wait until 19th level to get a second extra 5th-level slot.
That's the best edge for a Sorcerer, one more 5th-level slots than Wizard when they already have access to 7th-level spells. It's not bad but not enough to be a selling point.
In a more practical case, they will probably choose to get back slots of intermediate level also, for example...
At level 5:
- Wizard (3 points), gets a 3rd-level slot, or 2nd+1st, or three 1st
- Sorcerer (5 points), gets a 3rd-level slot, or 2nd+1st, or two 1st + 1 spare point
At level 10:
- Wizard (5 points), gets a 5th-level slot, or 4th+1st, or 3rd+2nd, or 3rd+1st+1st, or 2nd+2nd+1st...
- Sorcerer (10 points), gets 5th+2nd, or 4th+1st+1st, or 3rd+3rd, or 3rd+2nd+1st...
At level 15:
- Wizard (8 points), gets 5th+3rd, or 4th+4th, or 3rd+3rd+2nd...
- Sorcerer (15 points), gets 5th+5th + 1 spare point, or 5th+4th+2nd, or 3rd+3rd+3rd...
So there is an edge, but it's small.
For the bigger picture, you also need to consider:
- Arcane Recovery has the drawback not so much that it needs a short rest, but that you have to recover ALL slots at once, and you can only recover slots you have already used! The Sorcerer is a lot more flexible, the slots are independent of the past and chosen on the fly.
- The Wizard will certainly use Arcane Recovery for extra slots, the Sorcerer can use all the points to get an edge on daily totals, but then she is giving up all the other uses of spell points (metamagic and other options).
- Wizard potentially casts a lot more Rituals because she just knows more ritualizable spells (on average, individuals might vary).
- Only near the end of the game (18th level IIRC), but the Wizard also gets some lower levels spells at-will.
Everything considered, I'd rather advertise the Sorcerer as 'more flexible and efficient', but 'casts more spells than Wizard' would be misleading IMHO, because you don't typically really end up casting more...