There's one score for all actions kept and what should count towards it is being argued over. If this is going to be a serious matter then you might as well propose that 2-3 columns exist for separate scores. Personally I don't give a shit because I don't make it a mission to sit there and heal people as a basi unless I come across them.
TKs should stay for basilisks who are holding people. However, though I can't think of a way right now to get this done, basilisks should get the full evo value and score when a teammate kills someone they were holding if the person was held all the way until they died, except in certain situations; if you're holding someone in their base and you have 5 people shooting at you and your teammate kills your S2 armored victim, it should be different, as they wouldn't have died if your teammate hadn't been there, and you likely made a bad decision anyways since the whole case is an unlikely situation.