Is this still on Linux? I think you are aware that this isn’t a supported configuration (Roon 2.0 and Linux (Wine) .. is 32bit needed? [answer: no, wine supports 64bit] - #132 by DS_DV).
The browser login is for SSO, I think. Haven’t used Wine since it was introduced, but did you try to log in on another remote? IIRC this should work.