Yea. Murphy's Law applies though.
So the scenario is...
- Two aircraft, each suffering one engine out, are on a collision course.
- ATC is completely asleep to the situation (after all, two aircraft emergencies in the sector at the same time is pretty mundane)
- The one that has RA to climb cannot. The one that has RA to descend has no RA capability.
Rather than cursing the TCAS designers for their lack of foresight I suggest you just accept that this really is not your day!