Yeah, my other guiderail saw is 110 volt and plugs into a power socket on my dust extractor.
Starting the saw knocks the extractor on.
But my battery powered one wouldn't start it so the bluetooth battery (combined with the bluetooth module I bought for the extractor) starts it.
Now obviously having a cord powering my extractor and a pipe to my saw kind of makes a mockery of the whole cordless saw thing but there's not much in the way of cordless extractors about just yet.
Plus if I'm working somewhere outside I just have a dust bag on the saw instead of it being piped upto an extractor.