If you're looking at the 1L-sized HPs, ServeTheHome did some reviews of those a while back, and I believe most of their testing was based on linux (see here for more:
https://www.servethehome.com/introdu...ab-revolution/). I'd pay attention to what graphics the device has - usually those boxes have IGPs which will mean AMD or Intel, both of which are well supported, but AMD lagged on updating their IGPs for a few generations and so you may not get Vulkan support if you end up with a Terascale-based IGP (I think this is through the 6000-series chips from AMD, and 7000+ got GCN which can support amdgpu and therefore Vulkan). I'm not sure where the 'line' is for Intel - I've had no issues with my 5th gen though (and FWIW Apple also lists the 4th gen as Metal compatible, and the Apple requirements for Metal mirror the requirements for Vulkan on the AMD side). I'm not saying any of these will be stellar performers, just thinking about broad compatibility.
On the wifi side I'd be less worried - if you end up with something that has spotty support, that can be either replaced entirely (if the system uses a mini-PCI card) or supplimented with a USB dongle that is better supported.
Overall, as frankbell said, you shouldn't worry too much though - things are pretty well supported these days, and its not unreasonable to expect graphics/sound/etc to work out of the box with a modern desktop distro like mint (which is based on Ubuntu, so you might also try searching for compatibility there - at one point Ubuntu maintained a QVL as well).