what about instead of the night ending in a no-lynch if we don't have a full majority, we simply have the person with the most votes lynched?
No. That would change the mafia to town ratio needed to win.
12 people discussing, 2 townies vote for someone, 3 scum vote for him as well. Other 7 votes are split here and there. 5 votes cause a lynch.
8 people left, 3 scum vote for a townie, other 5 townies votes are split. 3 scum may control the lynch.
Not to mention that it would allow people to add deciding votes without hammering, and would probably turn L-1 to L.