I mean I think as with many broad groups of people, different individuals likely want each of those things, as well as many wanting both or neither. My comment referred specifically to a subset that wants to assimilate, as they were more likely blindsided than activists who fight for acceptance, but we're nitpicking here
Regardless, the way in which surveillance harms them, as well as other minorities, whether political, racial, ethnic, sexual, or religious, isn't that their "secret" is revealed, it's that they are monitored and can be targeted. Their status can be used to aggregate and group them, but other information can be used to harm or target them. My point in bringing up minorities that suddenly become more prominent targets isn't that they need to hide their minority status and thus are uniquely harmed by surveillance. My point is that surveillance is a weapon, and you only feel the harms of it when it is used on you, not when it's being built
Again, the issue isn't that particular information is especially dangerous. It's that information is power, and there are lots of very concentrated and unaccountable powerbases being built through mass-surveillance, which can be deployed to harm people in all manner of different ways for all manner of different reasons. People feel violated when their privacy is invaded because it is an incursion of power that violates their autonomy, and power is quite versatile in the harms it can do
