I don't think that it's innately incorrect for Logan to want to give Maverick every possible benefit of the doubt, and be reluctant to start anything with a friend.
However! At many times in the past (many times!), he has been completely open to contemplating the murder of his other friends, students, and loved ones, without worrying all that much about it. Sometimes because he's afraid, and thinks it's too dangerous not to. But there have also been occasions where it's framed as just more expedient for Logan to kill a friend than for him to not kill them. Off the top of my head, the list of people that Logan has decided it might just be too much trouble for him to let live, has included:
Jean Grey (there are entire, extremely gross, issues dedicated just to Logan deciding Jean needs to die),
Cyclops (there is an entire series by Brain Bendis where his only characterization is wanting to kill Scott, for making him sad, no matter the cost),
Rachel Summers,
Shadowcat (three times!),
Karma,
Bishop,
Hope Summers,
and Daken (his son).
This is a very deeply ingrained aspect of his character, that has featured in his core stories over four decades of publication. But Maverick of all people is going to be where he draws his line? It could conceivably work as a new development, a moment of character growth, but I can't think of anywhere in recent creative runs where that growth could have actually been established. With a minor character that could slide, to a degree, but this is Wolverine! He's the lead in two books!
