What is your dialect? In my dialect (Californian American), neither word has much of a connotation at all. They both have a vague feel of something I might read in a modern science fiction book talking about different factions of posthumans, or something in that vein, but I don't think most people where I live (in the SF bay area) would think they have any connotation. I was intentionally trying to think of a new word without any pre-existing baggage.
I live in the american northeast.
To be specific, "Righter" sounds to me like religious right and righteousness. "Truther" sounds like 9-11 truther and Colbert's truthiness. It might just be me.
To break up the awkward silence at the start of a recent Overcoming Bias meetup, I asked everyone present to tell their rationalist origin story - a key event or fact that played a role in their first beginning to aspire to rationality. This worked surprisingly well (and I would recommend it for future meetups).
I think I've already told enough of my own origin story on Overcoming Bias: how I was digging in my parents' yard as a kid and found a tarnished silver amulet inscribed with Bayes's Theorem, and how I wore it to bed that night and dreamed of a woman in white, holding an ancient leather-bound book called Judgment Under Uncertainty: Heuristics and Biases (eds. D. Kahneman, P. Slovic, and A. Tversky, 1982)... but there's no need to go into that again.
So, seriously... how did you originally go down that road?
Added: For some odd reason, many of the commenters here seem to have had a single experience in common - namely, at some point, encountering Overcoming Bias... But I'm especially interested in what it takes to get the transition started - crossing the first divide. This would be very valuable knowledge if it can be generalized. If that did happen at OB, please try to specify what was the crucial "Aha!" insight (down to the specific post if possible).