Recovering a detached Galaxy-class saucer

Could different saucers and engineering sections be exchanged?

A compatible Galaxy-class engineering section could retrieve another saucer, but that does not imply unrestricted interchange between ship types.

The initial disagreement turns on what 'different' sections means. A compatible engineering section could leave its own saucer safely and return to collect another Galaxy-class saucer. Galaxy and Nebula sections are described as sharing the relevant compatibility, with no equivalent range of other saucer types identified. Once the question is narrowed to that recovery operation, the participants agree it is feasible within the fictional setting.