Nope. Shutting down SR is even easier than shutting down Fighters, and it comes up more often at that. Not all of the methods use resources or actions.
Such as? If you're referring to picking spells that ignore SR (e.g. Orb of X), then chances are you've picked a spell specifically for overcoming SR rather than some other option, thus expending resources.
Bzzt! Most of the best spells ignore SR as a matter of course.
Like what? And are they the best spells at least in part because they ignore SR, or is that just an added bonus? If the former, then my point stands.
Grease,
silent image,
glitterdust,
web,
sleet storm,
stinking cloud,
black tentacles,
solid fog,
telekinesis,
wall of stone. That covers spell levels 1st - 5th, lets you target every save (including save: none), cover damage, debuff, and battlefield control, and all of them are Core. Those are spells that appear on practically every wizard's spell list because they rock your face.
Oh, and they're all SR: no (telekinesis doesn't allow SR when you throw lava at people).
A wizard can load up on awesome own-your-face spells and never roll against SR
ever. And just to prove it, here's a spellbook for a 10th-level Core wizard that is totally playable.
Enlarge person,
feather fall,
grease,
mage armor,
silent image,
glitterdust,
web,
mirror image,
see invisibility,
haste,
fly,
sleet storm,
stinking cloud,
black tentacles,
greater invisibility,
polymorph,
shrink item,
solid fog,
telekinesis,
teleport,
wall of stone. Not a single SR: yes spell that isn't a buff. You have an additional 1st-level spell for every point of intelligence modifier you possess, but I left those empty. This is literally the bare minimum you could possibly have if you started with an Int of 11 and never learned any spells beyond your free ones.
Oh, and you only draw from 5 schools of magic: abjuration, conjuration, divination, illusion, and transmutation. So you can be a Red Wizard (I recommend conjurer) without losing a thing.