I would.
You'd be surprized how many frames for some of the major bicycle companies are made in the same factories in China and Taiwan (see
https://en.wikipedia.org/wiki/Kinesis_Industry). And really, after the frame, you're just left with the usual suspects for components (ie usually Shimano/SRAM for shifters and derailleurs, the same tyre manufacturers, rim manufacturers, etc).
So definitely caveat emptor, but so long as you do your homework and have a reasonable idea the frame isn't terrible and the components are reasonable, I wouldn't have a problem at all*.
*OK thinking about this a bit further, maybe I would. If I was buying a very high end bike with a cf or some other luxurious frame material, then I'd probably stick to a well known manufacturer based on support and warranty stuff -though that also doesn't necessarily guarantee a form of protection either admittedly. Also, if there was something about the bike that is unique in terms of function and design (e.g. if you say wanted something similar to Giant's Maestro suspension design) then I'd be wary of putting down money just based on their claims as I'd assume little to no consumer reviews, So, maybe the caveat here is yes for simple traditional designs with traditional materials that aren't excessively spendy!