Thank you for being a 1%er. And by that, I mean being amongst the 1% of English speakers to know the difference between
its and
it's.
As for your interpretation of "accept," I'm not sure I fully agree with you. I see people use it in two similar, but different, kinds of ways. One is simply a way to ask acceptance of, as in this definition from the OED:
To endure (an event, situation, or person) with patience or resignation; to tolerate, submit to; to come to terms with.
Another is a shorthand for accepting
something as [valid, etc.], as in this alternate definition, also from the OED:
To consider or recognize (a person or thing) to be a specified thing, or to have a specified quality; to take as authentic, valid, or adequate; to believe (a statement or theory). Also with that-clause. Formerly also †intr. with of (obs.).
Neither of those have anything to do with approving of what you are accepting, as such, simply recognizing it as something that others may have just cause to adopt, believe, do, and so forth. We have lots of engineers around here, for example. I would never want to be one, but I accept their rationale as to why its a good choice for them, and accept the presence of engineers in society as a good, or at least as something other than a problem. I think that's the kind of acceptance most people are looking for when they ask for it.
If they ask for more, well, they may do so at their own peril. I'm of the mind that that kind of use is the exception, rather than the rule, but I could be wrong.