I can see where someone would make that connection, but I think that it is an incorrect assumption to make.
A vanilla town claim is a simple binary. It’s either true or it isn’t. Interesting however, is not something you can really quantify. Nor is it automatically equivalent to a vanilla claim. I might find playing a doctor uninteresting, or a mason, or plenty of other roles that are just bog standard Mafia ones. So the two are not equivalent, though again I can see where someone would assume so on first blush.
Saying lynching me is not the best option is for two reasons. One is the obvious one, that I know my role and that it is Town. The other is that lynching me gets the town, what exactly? Either I’m town or I’m scum. If I’m town, then town mislynches because they killed a town and gained next to no information. If I’m scum, yay dead scum, but again, town gains little information. Dead scum are good yes, but dead scum with no information leads Town to play with no sense of urgency, which is an issue in the mid-game.
There’s an argument to be made that I should be lynched on principal for not putting much information out there. I can understand this argument, though I disagree with it due to the stage of the game that we’re at. Punishing bad play is all well and good(and I’ll be the first to admit that I’ve played shitty this game), but not at the expense of victory.