do whatever the fuck you want,

Here, not engaging has no effect.

to not reveal (or possible even have) your actual motives,

Yes, if the hidden motives are to irritate, waste time or troll the other person

or to badger people into giving up the exchange,

Here it’s more the other way around. The bad faith accuser gets to quit while claiming victory. If someone’s arguments are not logical then they should just be called out.