I enjoyed watching Quincy for the science aspects and for his interaction with Dr. Ashton (what a way to run a coroner's office!). Larson had a number of things in the works during this time, and a significant staff of writers, directors, and producers, so I'm not sure if it really affected BG to any great extent. Larson is listed as Creator and Executive Producer, but I don't think he wrote for the series on a regular basis.
Quincy, M.E., started out as part of NBC's (not CBS, but Kingfish's comment still applies) rotating group of mysteries with McCloud, Columbo, McMillan and Wife, and others, before soon becoming a weekly series on NBC. A good source of info on Quincy, M.E., can be found at
http://www.inquire.net/quincy/index3.shtml
Incidentally, fans never discovered Quincy's first name. The FAQ at the above website gives the details of this one unsolved mystery from the series.
Quincy fan of old,
Lucian