Smells like the igniton side based on your description of it being a warm engine and needing to gun a stumbling engine and have it smooth out, also that all the basic of the fuel side check out. When was the last time the distributor cap and rotor were replaced? Check the ignition wires, especially for poorly seated or loose boots. When were they last replaced? Carefully inspect the CPS sensor cable for signs of damaged insulation, especially at the flex points at the standoff clips (unclip for inspection) and at the sensor on the bell housing (use a bright light and a mirror if needed). A failing CPS can act up when hot and cause a no-start, but allow a cold start.

If you ever get a full no-start condition, either cold or hot, there is a test you can perform at the OBD diagnaostic socket to check for a missing CPS signal (see the 700/900 FAQ here). Although I don't suspect this, another easy test you can do if there's a cold or hot no-start or it's running poorly is to shut the engine off, disconnect the AMM and attempt a restart into 'limp home' mode. If it now restarts and idles fine, albeit sluggish under acceleration, then that would point the finger to a bad AMM.
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Dave -still with 940's, prev 740/240/140/120 You'd think I'd have learned by now