There are multiple versions. You mention the 250ohm version (just clarifying so you don't get the wrong item).
32ohm
250ohm
600ohm
You need to check the specs of your SOUND solution to see what OHM range is supported. Most do not support 600ohm but some do.
I don't know if there's a particular "loudness" rating. I think if the OHM is supported it's likely fine.
I don't know how good your MOTHERBOARD audio is but there's no point getting expensive headphones without a good sound solution.
I personally prefer an external DAC. Something like THIS:
https
/audioengineusa.com/shop/components/d1-24-bit-dacheadphone-amp/
I'm not saying that's the best value, just an example.
I would probably use the TOSLINK connection (so the digital output is the onboard solution which is probably REALTEK chip of some sort), so the audio is completely isolated electrically from the PC. It's then converted from Digital to Analog for either stereo headphones, stereo speakers, or 2.1 speakers (stereo with a subwoofer if setup correctly).
The 3.5mm headphones would prevent the stereo speaker output from working.
There are also some SPEAKERS for PC that have a headphone jack that just uses the speaker amplifier and work quite well, but in general a TOSLINK-to-DAC solution is probably ideal.