One can point to this short as proof that Chuck Jones shorts could succeed without his frequent writing partner Mike Maltese. Here, Tedd Pierce (who at the time was mostly working for Robert McKimson) takes over the reins, and it has a lot of funny dialogue. In particular, he nails Daffy's self-centered personality: "It was me or him, and, obviously, it couldn't be me. It's a simple matter of logic. I'm not like other people. I can't stand pain. It hurts me." Classic!
The animation and music is still full of personality, even though budgets in both departments were slimmer by 1961. The snowman character, a take-off on Lennie from Of Mice and Men, is a fun "antagonist"- I say it in quotes because he's not really a bad guy, he just doesn't know his own strength and is a constant impediment to Bugs and Daffy's vacation.
It definitely holds up; give it a watch, especially if you're convinced Looney Tunes had no bright spots after 1960.