I was able to pair my Sonos Move with my Sony PS-LX310BT.
I had to go through all the phones in the household to forget the Move from the Bluetooth settings of each, so it’s not even accidentally trying to connect to any previous phones.
Then I sat them right next to each other, power cycled the Move, turned on its pairing mode first, and then the turntable’s pairing mode after. After a few seconds, they paired, to my surprise.
It did require some trial-and-error and random pressing of pairing buttons, but I can confirm that it is possible with this exact model of turntable, and I’m currently listening to my records via the Move.