Well, that depends. It's like an op character or an egocentric one.
If it is well written or well carried, it can be liked, otherwise it will be difficult to carry. Mainly the same as the Op characters, in my opinion both eccentric or op types work very well with secondary characters, since they can be comic relief with touches of seriousness. Or just be secondary and only that.
The best example is Jjba, it is very common to see eccentric and homoerotic things, but although at first it seems strange to you, everything is quite organic, he knows how to have his moments and when to get serious, there are better and worse moments but nothing very complicated.