In short, what you want is a charger that provides 5V +/- 0.25 volts at between 500-1000 ma current. If you stick to those specs you shouldn't have any problems.
Droid X charger:
FastRate USB Wall Charger SPN5504A - 5.1v 850mA
That is, it's 5V + 0.1 - within the limits you described - does it mean that I can use this charger for my Moto Z9 phone as I was looking for rapid charger for Z9 (i.e. 850mA and not 500mA)?
Or is it dangerous for Z9 (or any other phone where 'standard' charger is 5v exactly?)?