I'd much rather a crap picture that gives a wonderful representation, than a technically excellent picture of a brick wall.
Why limit yourself to those two choices?
Because there's endless technical/artistic combinations - I've just plucked those two out to give a representation.
The combination I strive for, however, is a technically excellent photo with a wonderful representation. It seems disingenuous to pit technical excellence and wonderful representation as being mutually exclusive.
That said, I would agree that the aesthetic typically matters more than the technical. Consider
this challenge winner. It's a lovely photo that won first place, but the low resolution of the photo literally ruins it for me (I fully admit that I may well be in the minority, here).
On the other hand, I've seen wonderful photos that suffered from any number of technical failings that I still thought were outstanding. Ironically, some of those photos would have actually been *less* successful had they been technically perfect.
But far more often than aesthetic masterpieces that would have been less had they been technically perfect are photos that fail as a result of their technical imperfections. At least for me. And, again, I want to make it clear that I am in no way saying I am representative of the majority.
Bringing it back to your photography, do you feel that, in general, your photos would be more "successful", less "successful", or not any different if they were technically "better"? For sure, there will be the occasional photo that bucks the trend (some of my favorite photos that I've taken are technical disasters), but, overall, what do you say?