You're projecting several layers of bias onto this scenario.
The more busy you are, the more valuable your time... the more expensive context switching is. When you are known as the person with the answers, your day is at least partially structured around getting people to leave you tf alone so that you can actually concentrate on getting your own work done.
There's a really toxic expectation that people who are senior should stop what they are doing XX times per day to help other people figure out their issues. Usually there's zero consideration given to how much each one of these interruptions takes away from them. Resentment builds cumulatively.
Before LLMs, this conversation usually went like this:
"What should I do?"
"What do you think you should do?"
"X"
"Do X"
There's only so many times that can play out before you really want everyone to just fro.
Anyhow, you should try hard not to "hate and despise" LLMs. Life is too short to invent paranoid reasons not to use the best tools available. That's another instinct you learn as an experienced dev.
if this is the experience in a team, then the team already has a problem. i expect these things to be made clear up front.
when someone joins a team they should be assigned a mentor whom they can ask any question, no matter how dumb, and the mentor then guides the new team member in how to approach such a question, which at that point can include asking the LLM. it is the mentors responsibility to point out when it is ok to ask another senior developer. daily standups can also help with this sort of thing.
in a close knit team i would also expect that either everyone can ask anything from everyone else, and that everyone learns when it is ok to ask questions. the situation you describe should simply never arise. if it does, then something is going wrong