In the "interesting if not real relevant" department is the fact that in cases of running WASAPI Exclusive but the source audio having a sample rate that not compatible with your actual audio device, the bass.dll itself will resample it to 44.1kHz, even if resampling is turned off (as it should be) in MusicBee. Of course, if it did NOT do so, you couldn't hear the audio at all, so that's not a BAD thing. For example, I have found some radio streams using a sample rate of 24kHz and 32kHz, rates that my audio device does not accept(only 44.1/48/96/192) , but which are resampled by bass.dll to 44.1 in MusicBee when using WASAPI Exclusive. The non-BASS Foobar will not play these streams at all, unless a resampling plugin is used first for those "funky" rates.
Of course, as frankz said, any source with a rate acceptable to your audio device is passed without resampling in that native rate when using WASAPI exclusive, providing all the fade effects have been turned off. BTW, all of this has nothing to do with what sample rate your "Windows Mixer" is set to, which of course is ignored completely with WASAPI Exclusive that uses basswasapi.dll in conjunction with bass.dll in MusicBee.