Earlier quoted context omitted.
That kind of ambiguity is everywhere, though. If it's Friday, and I say "next Monday", those two days are close enough that you may need clarification - do I mean "this coming Monday" or "the Monday after that". Or another example for day 1 = Monday, if on Sunday I said "let's do that next week", you may need the same form of clarification.
I don’t see any ambiguity in “next Monday”. It literally is saying the next day which is Monday. “Next week” on a Sunday is ambiguous because some people consider the new week to have started while others consider it to start the next day.
But when communicating with other people, it matters what they understand. And I've come across enough people who don't use "next Monday" like that to understand the word "next" means trouble.