Anyone here owns a strat that has a 6 screw trem? Can those trems dive downwards? Mine seems to be fixed
and cant move like a fixed bridge.

which trem are u talking about?
my strat can go downwards but only a little upwards

Its the normal strat trem with 6 screws infront. Does your's have it? Coz they seem fixed to the body and can't pull downwards...

are you having an early 80's strat?

yes mine is the same trem. let me understand you - pull downwards to get higher pitch? mine still can do that a little bit (like 2 keys higher). if u want to get much higher pitch, the trick is to push the bar first, hit a note & pull it back

assuming ur springs are loose enough...

even if the springs are tight u still can dive bomb abit unless u never eat rice

anyway, from what i experienced so far, usually one of two things.
the trem has stuck to the lacquer abit.
the pickguard isnt cut properly so cannot dive without the pickguard blocking.

maybe

having u tried raising the six screws? for the tremolo to work, the screws need to be slightly raised.