Or, whenever said 'test' may or may not take place we outright refuse to take part on the grounds that we cannot trust Mariko, and can't work with her, and explain such things clearly to Kurenai. I know, as Shinobi, we're going to be expected to work with all kinds of people-- but that doesn't preclude us from trying to nip any problems in the bud. If she insists, we could attempt to go through with the test, but I'm still not very hopeful for this team whatsoever.
Hell, maybe then Konoha will look at us and go 'oh, yeah, this kid had one of his primary caretakers try to murder him and his mother, and was forced to take his life in order to survive-- so maybe he does have legitimate trust issues and we should put more thought into this, or possibly get him some help.' And, wouldn't you know, Inoichi is already conveniently close enough to us through his daughter to possibly try and resolve any issues.
Though, honestly, I don't have much faith in Konoha's responsibility when it comes to mental health. See: Sakumo, Kakashi, Itachi