I'm glad to hear this was only temporary for you, although I'm sorry that you even had to experience that. Thanks for sharing.
It's also quite the gift that your parents responded differently. Having both parents struggle with the condition may have damaged your sense of self, but having a balance of both points of view makes it easier to hang on to the positives whilst you learn to adapt to others who cannot accept your situation.
People are much, much nicer to me with the mask on but I had anticipated that.

My burns happened when I was in a bad relationship in my mid 20s (a decade ago), and my accident that really disfigured my face happened in 2017. So, the change in my appearance is relatively new and the change in people's behaviour is also new.
I adapted immediately, knowing I am lucky to have had a great medical team who saved my life when the accident happened. The changes in my face mean nothing to me, so long as I am fortunate enough to be breathing and able-bodied today. I refuse to be identified by something as fleeting and arbitrary as beauty.
It took me a few hard interactions in the real world to learn that people would not share my perspective, and that many would be openly judgmental. That was a bit of a learning curve. People pointing and laughing at you is never comfortable.
Soon, I figured out that they've forgotten I'm a real person who can hear their mocking remarks, so I'll remind them by connecting (in my case a smile that is as sincere as I can make it in the face of insults). It works. Some people smile back, some start to chat to me and forget about my face once we get into conversation, but the majority of other people get freaked out by the smile and they run the other way.
I don't blame them, they see something unconventional and they judge it. However, my accident was just that: an accident. It could happen to them just as easily. People forget that. It's the same with people not taking Covid seriously because they're young and fit; no, you could die from it, too.
Nothing we can do but set our own standards high and hope that others will follow suit. Above all else, there's no point letting rude people affect your sense of self or cause you to change your behaviour. I would hate for people to remove their masks in order to avoid being mocked. I know some teenagers in the area are doing that because they don't want to look weird in front of their friends. That's the worst-case scenario in my mind.