Well.. 10 psi would certainly do the trick in making it pull... but me thinks you need to look at cumulative issues:
-worn out shocks+alignment+tire pressures+ possible bad suspension components (lower and/or upper wheel spindle control rods/spindle rod/axel tie rod/axel tie rod knuckle/spring insulators/cracked spring/compressed spring insulators) Also, while looking at the spring might check to see if all the spring spacers are accounted for and in equal amounts on both sides (mean looking at both spring anchor plates). Not knowing the history to your ZR-1 (like prior owner modifications) I do know you do not drive like a grandma going to confession

so all these items come under a lot of stress in more 'aggressive' driving.