Does it matter?
Maybe.
Personally, I find heart wrenching performances transcend mediums.
Dave Pensado confessed he used Christina Aguilera’s bedroom vocal demo take in the final mixdown for Grammy winning ‘Beautiful’ (2002) as he felt it had a soul that the studio version lacked.
It doesn’t take expensive equipment to release soul shaking records. Cheap equipment has been used to out do expensive recordings time and time again.
What you record on the medium, is more important than the medium itself.