My little duplicitous noun determiner problem

I have a double standard with the use of, or the lack of use of, noun determiners. (A, the, that, etc.) Sometimes a particular grammar rule is okay with me, but sometimes the same rule in another usage will irritate me.

Cases in point:

It has always bugged me when someone is going to take a break, or someone is already on a break, and it is referred to as going “on break”. I’ve always said, “I’m going on a break,” or, “So-and-so is on a break.”

I don’t have a problem with the word vacation in the same exact context. People go “on vacation” all the time, just as often as they go “on a vacation”.

Speaking of work, I would rather hear, “I am going to work,” rather than, “I’m going to my work.” In the former, work is a verb; but in the latter, it’s used as a noun, when the correct (in my mind) way to say that sentence would be, “I’m going to my workplace.”

In England, they say “on holiday”. They also say that someone is “in hospital” rather than “in the hospital”. But hey, they’re Brits. They always get a pass. Happy Christmas.