I feel like most of these "weird" interaction arrive from a too-literal interpretation of what cards represent. Very little in netrunner is "canon" and it's generally easy to think of a way that something seemingly non-sequitur easily makes sense.
for example, Day Job needn't imply that your runner has that specific day job- MaxX is depicted in a day job, but the card could just as easily represent Adromeda's wedding planner career, or Noise working as a DJ, or the Professor, well, being a professor. There are plenty of "boring" jobs Apex could be doing remotely for needed creds.
Likewise, trashing a sysop in no way implies they are dead (even when using the S&W or a driveby, it could simply represent the target becoming too rattled to keep coming in to work). it could just be that when you access an Ash server and trash him you're just installing a backdoor to his specific security protocols; but if the interns spend enough time digging through the logs, they might be able to find the weakness and get Mr. Ash's defenses functional again.
TLDR is that pretty much every card only needs to represent a very loose idea of the kinds of things it might represent; Ken tenma might buy a motorcycle for himself, but Apex or the Professor might prefer to simply hire bike messengers to drop off personalized wireless routers all over the city to throw nosy corps off their trail. either way, credits and time are lost, and a motorcycle is involved in protecting you from tags.