I've had beaver tail leather in my shop a few times - what you are looking at there has been heavily treated and polished, after tanning it is pretty rough.
Like most leather, there are notable quality differences from hide to hide, and it mainly depends on the treatment and tanning process. But, when done properly, beaver is a fine leather and certainly strong enough for straps - has a nice unique look to it as well, as you can see.
I suppose the other question would be where would you get beaver leather? My local leather shop carries an assortment of less-used leather types, but I've never seen beaver. I suspect that there are a good reasons for that, and scarcity shouldn't be one of them, at least not in Canada.
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