I tend to believe the EU will not allow depositors in any member state to be burned, even if the country defaults on (or "restructures") its sovereign debt. I would say a greater risk is that our deposits will be eroded by high inflation. But I'm no expert.
Denmark has already "burned" deposit holders...
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...and indeed I think the expression "bail in" usually involves depositors (>€100k) as well as Senior Bond holders taking a haircut. This seems to be the response of regulators and governments (remember the storm that arose last year over Angela Merkel expecting bond holders to take haircuts on government debt restructures