I think you'll find a few schools of thought on this question. IMHO, I believe it comes down to how critical your DAW is and how much you want to deal with potential resource issues or software conflicts, etc.
If you make your living on your DAW and need to minimize downtime and maximize performance, then you'll likely want to separate your DAW from your general PC.
Conversely, if you're a hobbyist who's income isn't affected if you had an issue once in a while and aren't stretching your system's performance limits by DAW projects with lots of soft synths & effects, then you can likely combine your DAW and home PC together if you have a very powerful PC and don't mind doing some troubleshooting once in a while.
FWIW, I have my DAW separate from my home PC, even though I"m just a hobbyist. My home PC has so many background services running from installed apps and receives frequent application / OS updates that I don't want to deal with the hassle of potential resource issues on large DAW projects.
Nothing's definite though - you may combine the two and never have a single issue - but the more pieces of software you have on a single machine increases the liklihood of an issue at some point. But you may feel differently. YMMV.
Hope that helps
Russ