I'm gonna get pedantic here, but I feel like it's still worthwhile because it just may remove a quirk from a mech that's already got a bunch: The Locust!
I'm going to argue that it doesn't need the "No Torso Twist Quirk". My only justification is the Artwork. Then again, pretty much the only justification any mech should GET that quirk is also purely artwork, so I don't feel baseless in continuing.
So the artwork for the Unseen and "NuSeen" LCT-1V both have the Medium Laser in what is clearly a chin turret. The Locust has a general body plan similar to many other mechs that justifiably get the "No Torso Twist" quirk, but in this particular case that "chin turret" could/should provide an arc of fire as wide as a torso twist itself would have. And since 100% of the torso mounted weapons (in this case, 1 medium laser) have the wide arc of fire, even though a LCT-1V doesn't torso twist in a conventional sense it seems like there's no reason to say it has to have the No Torso Twist quirk. Especially when it's already loaded with a bunch of them already.
Rebuttals to possible quibbles:
"But what about the arms?" Those things are basically sponson turrets. Heck, it probably ought to be able to "flip" arms like a Rifleman. Even without such an ability, the arms could/should be able to execute the angle of fire that'd be possible in a conventional torso twist.
"But what about the artwork for the ReSeen/Project Phoenix Locusts?" Yeah, that's a problem. A) they clearly dispense with the chin turret. B) Saying some variants get certain quirks but others dont appears to be opening a can of worms that is as of now left sealed. I figure B is inevitable, but until it does happen, A remains a valid point. Still, given the artwork for the ReSeen/PP Locusts appears less often than the Unseen/NuSeen, I think the weight of preponderance is actually against the ReSeen/PP, and therefore against the entire series deserving "No Torso Twist".
"What about other variants with more than 1 medium laser in the torso?" Along the UnSeen/NuSeen paradigm, I'm not sure we have artwork for any variants. Unless shown otherwise, who's to say any of the not-PP Locusts don't have all their torso weapons in that chin turret?