I generally think the rule on splitting infinitives was made up by English majors upset that English isn't more compatible with Latin, but in this case I think the attempt to avoid the split made the sentence weaker and ruins the sentiment.
"Trying to not kill yourself" implies effort. It sounds like you're actively avoiding something. "Trying not to kill yourself" sounds like you're doing something different, to change it up.
You're right. There's no actual rule in English that you can't split infinitives. It was copied over from Latin in an attempt to try to come up with some rules for grammar.
Source: Many nerdy discussions with Star Trek geeks about "to boldly go where no one has gone before"
Different meds can have different effects on different people
I tried half a dozen different meds before I got a different diagnosis and prescription
Each one came with its own unique set of side effects (like 1 anti anxiety drug that gave me panic attacks). Sometimes you've got to try a bunch before you get the one that works for you
Okay so.
I... have a friend...
who has difficulty ejaculating with a partner but never with masturbation. He thinks because the problem never arises with masturbation, it couldn't be caused by medication. Is this logic sound? Or could his antidepressants be the reason he's limp-dicked for real women?