I did test continuity (probably a bit barbaric), but I think I don't have connection on this wire - from one end to another. but, probably, will have to do another round of testing - just to be sure. I felt drag when inserting those little "blades" (set of different blades to dismount pins from connectors and such). tried to be as gentle as possible.
battery was not connected (I actually was replacing battery

).
as I said - when I was checking continuity on the wire - I got OL.
now, thinking... I think that the wire/connector at alternator end should be problem. because ECM end is solid... but wire at alternator felt funny...
may be good idea is "open up" wiring sleeve from alternator towards ECM and cut it somewhere there... and get new pin for alternator.
alternator... yeah... that was also one of possible causes.but couldn't find any internal information about alternator... so... don't know. car has 193kmiles on it - it might be it... but it means I could have messed up something - since I got no continuity
p.s. is your picture from FSM? if yes - which part/page? because I found one for this connector but reversed (ECM side, so to speak).