I don't know if one can say there was always friction between the writers themselves. For example Hall may have disliked Marmorstein's work, but they never worked on DS together. Hall's main exposure to Marmorstein was helping his wife Grayson learn her lines from scripts written before Hall even joined the DS writing staff. And with Sproat, while he worked on DS with Wallace, Wallace, as head writer, would have been his boss - and we all know that we don't always see eye to eye with our bosses. And Sproat continued to write for DS long after Wallace was gone, so that adds another dimension to the mix.
One thing I do know, though, is that Hall and Gordon Russell were extremely tight, and their partnership continued on for years after DS...