Hard to say since those speakers connect to the module via RCA and it is hard to tell with their systems if it is line or signal level on those outputs. Usually you can still use them as long as everything still runs through its bass module.
TLS is correct, Bose is sort of a losing battle. The GOOD news is you can likely sell your system for parts for a pretty good price. People often damage one or more speakers or the bass module dies and they only need parts of the system, so the used prices can be pretty good for the whole system.