Play PnP long enough and youll see plenty of good and bad rolls to make for countless anecdotes, but i have had my share of shitty characters, my first character ever made died in his 3rd story, my second character died within 5 minutes of creating it and starting to play. I had a mage warrior elf that died in his first story eaten by goblins.
Eventually you realize probability is meaningless, sometimes you just gotta ride the dice and let it fall where it may.
What you are claiming is not just an unlikely string of good luck. It is an incredibly unlikely chance for something that occurs not very often, character creation. Getting good runs of 20s isn't gonna be as big a deal because you are rolling 20s all the time. Rolling a character that has a 1 in 200 million chance of occurring is indeed the kind of thing that should rightfully be called into question. Even if you made 200 characters with that method you are still looking at a 1 in 2 million chance of any of those characters being that good. And then you go further and claim that you had another character that had a similarly unlikely chance of occurring. I'm gonna have to call BS.
Also, your character having really lucky things happen to them in game, being able to defeat opponents that seemingly overpower them, or other cool and amazing things happening to them, is usually not strictly a matter of luck. DMs have immense control over what happens and it is usually an exciting game if cool and amazing stuff is happening. I'm not even just talking about fudging dice either (some DMs will never do this). DMs control everything else in the game as well.