My Xperia X compact with its Android 7 is showing the very same issues not consistently finding available bluetooth devices, or even indicating there would be none available at all. I have to repeatedly switch BT off /on to even get a chance of connecting the device I aim for. Also, if a device is switched on, it will not be detected by the phone, only after switchin BT off and on it may have a chance at all. Sony offered to have my device 'repaired' but I hesitate since it seems to be a general issue, so I doubt it can be 'repaired' for a singel device at all. I find it a bit odd that this general bluetooth issue seems only to being discussed on this forum under the "Bluetooth and car radio issues", while it actually seems to be more general for the Xperia X compact running Android 7 - I don't know it running anything else by the way.
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