Currently we don’t have the option to link a label and a studio.
A decent number of labels own, record, master and produce at a studio they own.
A few:
Victor / RCA Victor / RCA
Columbia Studios
Decca
Another link could be personal studio of X (home studios in particular). Founder does work for that though.
This seems fairly reasonable to me. Can you make a STYLE ticket?
Does anyone have any objections to adding this?
I’ve been wanting to add some label-studio relations for a while, just kept forgetting to make a ticket. Go for it! 
What is wrong with the existing parent label / subsidiaries relationship?
Nothing, but there isn’t a relationship between labels and places. So we can’t say something like “label owns place” or “studio owned by label” the same way we could with artist and places.