I understand that bonus spells cannot grant access to higher level spells than a character normally has access to. For example, a level 4 Magus would have access to 4 0-level spells, 3 first-level spells and one second-level spell. Having an INT of 18 would grant one extra spell in levels 1 and 2 but would not grant access to levels 3 and 4.
My question is this: Say I take one of the Magus archetypes that has the Diminished Spellcasting trait (Esoteric, Kensai, etc). In the above example, my base spells per day would be reduced from 4/3/1 to 3/2/0, effectively shutting off access to level 2 spells. Would the bonus spell from INT return my 2nd level spell to me (3/3/1) or does Diminished Spellcasting effectively cut me off from those spells (3/3/0)?
Basically am I considered to have access to level 2 spells, and can simply cast zero of them or do I lose access entirely if my base spells per day are reduced to 0?