Big Agnes generally will be of lower build quality than the SG (Slingfin) tents. Kuiu I haven’t seen for years, but having owned one, I’d say the same thing. BA makes nice stuff, but they generally use very thin materials and aren’t up for more severe weather duty. Now you can mitigate that with some site selection. If you have a good 3-season tent you like, no reason to jump ship to a “hunting” tent unless you’re looking for more shoulder season protection.
It isn’t really hunting vs non-hunting as others have said. It’s the shelter itself.
Things to consider would be:
Typ trip Duration
Climate (wet vs dry)
Weight tolerance
Wind
Above or below tree line.
Packability/size.
Poled vs trek pole setup
# if people
Gear storage
If backpacking, Bivy camping or leaving shelter up and spoking out each day?
Single vs double wall: if you don’t know the difference the answer is generally double wall. You need to have experience and judgement using single wall shelters. They aren’t rocket science, you just need to manage condensation more thoughtfully. Site selection really plays into this.
If you’re generally in lower-risk type trip situations (ie hiking out is no big deal) then you have more leeway to experiment and takes risks.
If you still think you’re on the hunt for a tent, try and answer some of those questions, and start by reading some tent summary articles. I’d try and narrow down seasonal application first, then size, then between a trek pole or regular poled shelter. Then you can decide mid, dual poled, dome, vestibules, hot tent, etc to narrow down your search.