Sounds like an electrical problem. Power steering is governed by vehicle speed - the slower you go, the more power assist is needed - the faster you go, the less power assist is needed. Therefore the amount of assist that is given is controlled by the power steering control unit which has many inputs including vehicle speed, transmission position, foot-brake position, parking-brake position, clutch position, etc. If the control unit doesn't receive any of those signals it will "failsafe" into a default setting where the control unit assumes the vehicle is traveling at a high rate of speed. So the steering will feel heavy at slower speeds or when the vehicle is stationary.
How this is related to throttle position I'm not sure - you may have an intermittent problem from one of the inputs to the control unit. I would suggest reading up on the PS system from the service manual - here's where to start (read the general knowledge statement on this page a few times until it makes sense)
http://www.300zx-twinturbo.com/cgi-bin/ ... t&total=98
I would follow the "Diagnostic Procedure 1 - Heavy steering operation during stationary turns" flow chart and just check everything until you find the problem. I hope you have sharp electrical skills - this one is going to be fun lol