[3.5] 0-level spells + wizard specialization

[Ason]

I'm recently returning to my 3.5 roots after a long stint in 5e and Pathfinder 1e, and I ran into a question I can't remember the answer to. I cannot find any relevant rules or past advice posts and want to make sure I'm remembering correctly, so I turn to you.

If I am a specialized wizard, does that specialization's extra slot per spell level apply to 0-level spells, or does that extra slot feature only kick in starting at 1-level spells? Is it similar with a focused specialist wizard's trade-off for extra slots in its chosen school? I know 0-level spells don't get extra slots from a higher Intelligence, but specialization still gives extra slots even for 0-level spells, right?

[Afghanistan]

A specialist wizard can prepare one additional spell of her specialty school per spell level each day.

0th is a spell level so yes.

[Ason]

0th is a spell level so yes.

Thanks. That's what I was telling myself, but I psyched myself out of thinking that for some reason. Much appreciated.