I think both are important. But I prefer the technical side of the movement to the level of finishing.
When I saw the question I remembered a time when I almost got a Habring2, but what pulled me back was the unfinished nature of the mechanism. They make interesting pieces but I held back because they are too “unfinished”, much like a good car without a paint code - just bare metal, unless they use a solid case back.
But that being said, if the maker uses a solid case back, the paradigm may shift, much like Rolex, that has really unspectacular finishing for their movement, but no one buys a Rolex for the finishing standards alone.
On the flip side, if a maker uses a highly decorated ETA, it could tip me over to take a second look. Much like how a plain girl makes an extra effort to dress well and wear make-up, causing guys to turn their heads. But the connoisseur knows the plain girl is still a plain girl, unless she upgrades to become more sophisticated.