Please double check the integrity of the accordion air intake hose. I know you said it seems fine, but unmetered air intake is seemingly a likely issue and that spot can dump in a ton of unmetered air on an inconsistent basis, enough to affect both starting and running. Also check the hoses to the IAC valve. Splits in those hoses often happen on the underside and are sometimes difficult to spot, open when the hose is clamped in place, opening/closing slightly during engine vibration/torsioning, but closed when removed for inspection. You've had varying symptoms that seem to change when you swap or move things around, especially the AMM. You may be chasing multiple problems. One thing that jumped out to me is working around the intake manifold and swapping the AMM making major differences, so split/disconnected hoses, loose clamps and loose/poor wires/connectors are all things on your hit list in addition to failed/failing components. On the AMM connector, peel back the boot and give the wires an extra push in to ensure full contact. Also make sure all the big wiring harness connector blocks are fully seated and the wires there are not loose, chafed or damaged.
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Dave -still with 940's, prev 740/240/140/120 You'd think I'd have learned by now