I think loans against physical Bitcoins are very niche. I could contemplate the appeal but the coins themselves are quite illiquid and are worth quite a bit more before being peeled than they would be once peeled..
Unless you're requesting a loan with someone who wants to acquire it that could offer the coins loaded value then I don't think it's viable yet.
I'm surprised tokenised fractions of coins aren't a thing yet though.
This is a very valid point. As the BTC price rises, the loaded amounts will typically go down on modern collectibles. The value of the collectible can be a significant multiple of the loaded balance.
Then you also have the problem of verification. You'd need to get the collectible authenticated.