Pretty sure that is practically and technically wrong because you're only considering one side of the loan. When lending fiat the specific currency does matter - because often the lending institution will often create new units on the spot. We can tell by inspecting a chart of monetary aggregates that
someone is creating new units out of nothing. And when financial institutions over-commit sometimes they get bailed out so they have an incentive to take on more risk than is prudent.
Both those operations are somewhere between less likely and impossible with crypto lending. If an institution lends a bitcoin, they had to acquire the bitcoin from someone else first. And if I borrow the bitcoin then forget my keys that bitcoin it isn't going to come back to them without someone else giving up a bitcoin - no matter what the regulators want to happen.
They can only avoid this by not accounting in bitcoin and working in fiat. Or by using pure credit, like what institutions do now where "your money" is actually something like an individual being a bank creditor. But it is much harder both technically and as a matter of incentives to lend crypto.