I've purchased 8 of the brownings, 3 different models. Had issues with 4 of them and like swat, they were due to the battery tray contacts. You may want to check the contacts to see if they need to be cleaned. If you have one that will work and one that is having the issue, you may want to see if swapping the trays causes the problem to follow. Also, if you have access to an external 12v power source, that could rule out the camera internals and confirm the contact issue. Browning will replace the trays, so you may want to check with them if it points to that.
But to answer your original question, yes. A couple of seasons ago I loaded two of them up with fresh lithiums and confirmed that they were working when I left. Came back a week later and both had no power. Removed the trays, bumped them a couple of times and they started working again. Came back a few days later and both had stopped working again. It was very frustrating and I decided to move them into less important locations. I had Browning replace the trays and they are back working again, but I still only relegate them to less important areas.
Hope that helps.
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