My one consistent gripe with this series is their absurd portrayal of D&D (and tabletop gaming in general). I've been playing TTRPGs, including D&D, since I was a teenager, and I've always been in mixed-gender groups. I really detest the stereotype that "girls don't play D&D" or can't be real gamers. Total b.s. While over the years I've come to realize that I identify as non-binary, I have the biologically female bits, so I believe that I can still comment on that, and anyway, I've played TTRPGs with a lot of women, and I'm currently in 3 mixed-gender groups and 1 group in which I'm the only non-male. (I'm retired and have a lot of time on my hands.)
It also mystifies me why in TBBT, the GM is the only one rolling the dice. I don't know of any group where the players don't roll their own dice for their characters' actions, unless the DM needs to make a secret roll (like Perception, for example) where the player shouldn't know the result.
Don't get me wrong, this is one of my favorite series over the years, but I would like to see D&D, and gaming in general, portrayed more realistically.