Recently a thought came to my mind - if 4-LOM G1A has 2 stresses and passes them with it's skill, do Inspiring Recruit work then ( and if, how )?

There is no interaction. Per the latest FAQ passing a token to someone else is not the same as removing it.

Drive-by FAQ

Quote

Q: Is assigning a token from a ship to another ship the same as "removing" a token from that ship?
A: No. For example, if a stress token is assigned from one ship to another ship, it does not count as "removing" it from the first ship for the sake of game effects. Additionally, if a red target lock token is assigned from one ship to another, it is not "removed" from the first ship as the accompanying blue target lock is not discarded.