Dave Edmunds was always respected by musicians, but dodn;t have that much chart success. Sabre dance with Love Sculpture, and I hear you knocking, in his early days, then the Repeat When Necessary album - late 70's?
Nick Lowe mostly had minor hits over a period of time. He was well respected by Johnny Cash, whose daughter, Carlene Carter was married to Lowe for a time (during the 80's I think).
I saw Rockpile on only one ocasion and they were excellent, although Dave Edmunds voice was out of action for that week, so I didn't hear the full works.
It's a long time since I heard much of either of them, but British radio has generally gone downhill, and if they suspect than anyone can really sing or play guitar, they become persona non grata.
Quack!
GtD.