You would. For that time you just know the spell, it works exactly as if you trained it innately.
"Differences" with native casters are spells that have a "x bonus per spell circle", you still only know ONE spell, it just happens to not be the level 1 spell. So your scaling will still be worse for those.
A few bonuses are not part of the spell but are CLASS bonuses. For instance the level-based scaling for 1202 only applies to MONKS, not everyone who "knows" iron skin, in fantasy land where savants are released they would not receive that portion of the bonus even when training the spell.
Mithrilschlong, 2015-03-10 to slightly later on 2015-03-10. You will not be forgotten!
usable Meteor Swarm, late 2020-12-30 to early 2020-12-31. You will also not be forgotten!