Earlier quoted context omitted.
I once had a manager that thought he could negotiate estimates. That is like negotiating with the weatherman about the weather. Sure, maybe in the end you can convince them it will be finished sooner. But the fact is that it really doesn't change reality.
Typically there are many dimensions to a solution, the negotiation can be about trading one dimension for another. - does it have to be instant or can we run it as a batch - maybe it’s enough to have this tool in English only Etc.
Maybe you want features x, y and z. If it takes a day then X is worthwhile, if it's going to take a month don't bother. Z must be done so if that's going to take a long time we need to drop y.
One of the best product owners I've worked for would often ask for estimates and base plans and features from those. Some things would be easy technically and valuable, others harder and just a nice to have (but worth it if it only pushed things back a day).