Well they gave Tav a crappy line with Karlach - "I'm not swan?" Yuk.
But, again, doesn't seem mono to me. Sounds like a gracious response to someone who is announcing themselves to be a free agent.
(very) unpopular opinion: I don't think Karlach is very well written.
On Wyll, that is undoubtedly the response of someone poly.
"Wyll comes from an old, traditional line. I doubt his family would like their heir to introduce them to his lover's lover."
Notice she's putting it on Wyll and his family not her own inclinations.
"In truth, I don't think I'd want to be your spare lover." It's a dig - SH has sharp edges - but I read it as "I don't want to your secondary, I want to your primary"