If you want a claim on my time, then you shall do so under my requirements.
No native speaker is going to be surprised I ended the conversation after a question like that.
Anyway, how you communicate with people close to you is up to you, and I'm still not sure why it upsets you so much how I claim to have healthy discussions with mine.
But for the record: my partner and I essentially saved our relationship during the pandemic despite being on complete opposite "sides" of the topics of covid, vaccines and lockdowns, by communicating this way.
Because truthfully, neither she nor I actually have enough expertise to really assert that the vaccine is safe or not in the long-term, whether or not lockdowns work, and so on. We just have to trust the people we consider authoritative on these matters. And for perfectly understandable personal reasons we trust different sources here and prioritize different issues.
So instead of trying to convince each other of a viewpoint we could not in good faith defend as something we knew with certainty, we decided to ask ourselves why we feel so strongly about these issues. Why these beliefs that we do not have strong evidence for were so important, and to be honest with each other about those beliefs.
And being willing to trust each other, open up like that and do that kind of self-reflection together works. Neither of us has changed our minds regarding covid, nor tried to change the other's mind, but we're more grateful to each other for taking the time to understand and respect each others views than that the differences upset us, because it shows we believe the other person is worth that effort. Which is more than most people who disagree as strongly about this topic as she and I do can say.
If you still believe this is being disrespectful, that's fine. Outside of this meta-discussion about discussions we're having right now I have no interest in "claiming your time" and I'll still have a healthy and loving relationship with my partner regardless of what you think.
I heard a story once of an asian woman in a business meeting who started talking about erections. She was trying to say election. If a clearly native speaker had said it, the reaction would have been vastly different.
That question has all sorts of implications, not the least of which is being an accusation that the other person is disagreeing in bad faith, as well as an extreme level of condescension.
You don't speak to your coworkers the way you speak to your partner.