Sorry for the delay in replying.
I read up on the Storegga event some years back and had concluded, unlike most experts at that time, that it was due to clathrate breakup. The Bunin tidal wave is new to me, but it sounds as though methane could again have been the cause.
When I was at L'anse aux Meadows, the docent pointed out that the Viking harbor had risen ~5 meters, and that much of the low field we were viewing would have been been sea bottom a thousand years earlier. Assuming that the continental shelf has rebounded along with the island, it's reasonable to assume that any buried clathrates now have less pressure keeping them together.
When coupled with the recent increase in shelf water temperature this could lead to an explosive combination.
I wonder if any of the shelves have the "pingo like" features that mark the floor of Hudson Bay? I'd expect strong currents would have obliterated most traces, but if we're worrying about near future events, then near past events might still be distinguishable.
If "pingo like" features are visible on the surface of the shelf, the likelihood of a shelf collapse would seem to increase. If none are to be found it might relieve some anxiety.