Those are the same part number. The M at the end is not relevant.
362060602M
C.D. IGNITION UNIT (OLD-CU15 KOKUSAN DENKI)-NO LONGER AVAILABLE Part 362060601 was superceded to 362060602M
Only stat is one that starts to open at 150F. If the stat is stuck partially open, warmup could take a very long time, especially in colder waters. Still likely a carb issue.
if DVA shows exciter and pulser working, but not output to coil, you likely have a bad CD. This is a really obsolete motor, so if I were working on it, I would consult with CDI electronics if I needed a CD.
When testing the CD, your battery must be 3v or less. If it is 9v, you likely cooked it.
That aftermarket CD may (or may not) be OK. does it have identical connectors? I would ask CDI electronics.