No, I don't mean to be petty, but the terms have literal and very clear definitions. They're not interchangeable. A lot of people seem to get confused by the terms and use them interchangeably (including some pretty big youtubers), so I do understand the confusion, but it is quite simple really in my opinion.
A remaster is technically a type of port. You are still porting a game from one system to another. So in some respects, we're arguing over semantics here. Decades ago, remasters didn't exist. They were just called ports. So, it could be argued that the term 'remaster' was created by publishers as marketing spin. Either way though, the term is here now, it's here to stay and it's got a pretty clear definition. If you take original assets, up the native resolution to HD, enhance other effects and textures, change menu interfaces, make other adjustments and alter controls etc., then it's a remaster. If you take existing assets and do nothing or very little with them other than optimise for different hardware, then that is a port.