On top of that, with services using Schnorr, Bitcoin's throughput will increase significantly, which means that there will be more available blockspace without actually increasing the block size. This is scaling. Increasing the block size is a poor mans way of dealing with a problem.
schnorr is not to increase throughput
its actually when people no longer just do legacy transactions due to high fee's and instead need to use multisigs for LN. schnorr is there to attempt to shrink the bloat of (in the future) more popular used multisigs, which would reduce tx/block if schnorr was not used.
EG
imagine average tx was 250byte
multisig was 500byte
when multisig becomes more popular. LESS transactions could fit.
(easy math. legacy=upto 4k.. multisig only 2k)
so schnorr reduces the tx bytes to bring it down to the utility to normal legacy levels.. not to increase scaling.. just prevent decrease.
open a spreadsheet and do some math.