So I think in our case using Mothership definitely added to the tension of the session, because it's a horror system the player were more expectant of something bad happening.
There weren't a huge amount of rolls (and therefore not much stress gained) as the players were mainly investigating the station. When they were fixing things, half the time I gave them automatic success if it made sense based on what they wanted to do, as I usually only call for rolls if the consequences might be bad.
Some of the problems such as the exploding beakers and solar panel falling off they also chose to not fix, as it wasn't immediately going to cause them any trouble, and they wanted to focus on other things.