If Liz was a highly practical person, she ought to be trying to catch Miyabi as a husband already. His skills are so highly useful, or more like addictive, for an adventurer. Obviously not just for an adventurer, but for pretty much every field of life. Liz doesn't even know it all yet, like how he can repair weapons better than a third generation blacksmith dwarf, though I suppose it wouldn't surprise her anymore. If some other woman catches him, it's likely her days of adventuring with him would end sooner or later.
That being said, if she doesn't feel any romantic attraction to him, it can't be helped. She doesn't seem like the kind of person who would get married merely for material or career benefit. She's too emotional for that, plus she's actually benevolent as well, helping strangers in need.