This is a very good point, and it also bears a corollary: that weirdness (to the extent we're defining it as a social signal outside of a local set of norms) can and will be used to qualify your other characteristics. In some cases, it wholly depends on your other characteristics.
If you're weird + (strongly positive basket of traits), then your weirdness might actually be seen as a positive qualifier on your other traits. If I'm a rockstar engineer, heads and tails above anyone else at my company, and I smoke an antique meerschaum pipe on my lunch break, people might find me charmingly idiosyncratic, and possibly some sort of genius. The pipe might actually add to people's perceptions of my competence. But if I'm of average or mediocre competence at work and I smoke the same pipe, I'll be seen as strange and possibly unstable. In this case it's not the weirdness that has changed; it's the way people have processed my weirdness, in light of their other assumptions about me. Vint Cerf gets social credit for wearing a three-piece suit to work everyday; an entry-level Googler would get socially docked for it.
The pipe, or the suit, in this case, is an example of what we might call socially neutral weirdness -- the kind of eccentricity whose social value depends on other variables. On the other hand, you have types of weirdness with fixed and/or independent social values, such as political stances. If I'm a staunch libertarian, that's going to strike some people as offputting and some people as attractive, regardless of how people think of me in other respects.
I think it is probably wise to budget the former type of weirdness very sparingly, and to signal the latter type of weirdness only in pursuit of specific social goals. In absence of any other known quantities about me, or hard and fast opinions about me, the pipe has very little social upside at work. And the politics probably have no upside at work, plus a lot of potential downside, unless I happen to work among a group of fellow travelers. You're allowed to impose a larger cognitive load on your peers in proportion to the degree to which they hold you in high esteem. Conversely, when your social perception is neutral or unknown, or trending on negative, your weirdness budget drops significantly.