They use 'bigotry' as a synonym for prudish/straight laced. Its often used against people who want to stop adult males performing sexual acts in public or with non consenting people. Similarly when they use 'moral panic' about children as drag queens or seeing adult performances.
Its nothing to do with beliefs, because, as stated, two people can have different views and neither is a bigot. We dont say people with different economic solutions are bigoted.
Its an ugly word to try to silence discussion and detract from what is really going on. A man with gender doesn't care if women on a parenting forum dont think he's female, its that he doesnt want people to agree on social norms and stop him from going into the womens changing rooms.
Everything about this movement is about removing social norms around male performing sexual behaviour in public.