Bitcoin could absolutely solve this, but if and only if people actually hold it in their own wallets and not on centralized exchanges. We already know that most centralized exchanges are running fractional reserve systems with bitcoin and other coins. We've seen this in particular over the last few months when the likes of Celsius, Voyager, BlockFi, FTX, and more have collapsed and been unable to pay back everyone who had deposited. With a centralized exchange you don't own any bitcoin - all you have is an entry on their spreadsheet. That exchange can show you any number they like, while they actually spend/gamble/loan your coins out freely. The only difference is that centralized exchanges cannot just create new bitcoin out of thin air like banks can with fiat, but they are very much fractional reserve just like banks are.
Right, an exchange could go broke and any entity using that exchange would go broke along with it, but the Bitcoins would still be somewhere and not leave the economy/economic cycle. Someone else would have it and either save it or reintroduce it into the economy.
With fiat the problem is that pseudo-value is created to represent assets, like a house. That is where the real bubbles are generated because that pseudo-value fiat is not backed by any real EVA, i.e. by work or effort of some kind. It is pure dust that out of pure volume makes the house bigger than it is. Once the market realizes this, the dust dissolves into thin air, houses literally collapse and lose their pseudo-value, and since this is a systemic issue the entire real estate industry collapses, spilling over to anything remotely related to that industry.
With Bitcoin this pseudo-value creation isn't possible in the same way. Someone either has the real Bitcoin to buy a house (which can still be overpriced), or not. If it is overpriced, someone else gets a good deal, but the overpricing has sort of a cap concerning the industry.
Could pseudo-Bitcoin be created? Oh yes! But imagine someone coming to you saying "hey this is Bitcoin-TA (thin-air), I want to buy your house, I pay a good price". The person could accept the offer, but knows that the Bitcoin-TA should be invested very quickly because Bitcoin-TA can lose value due to infinite printing, aka inflation.
Now one might think the person buying with Bitcoin-TA got a good deal as well, but let's assume that every house, every estate that was bought with Bitcoin-TA is also labeled "TA-Estate", such that everyone knows all these objects have been bought with Bitcoin-Thin-Air, meaning that there is no real value backing the estate, that more Bitcoin-TA could be printed any second. Everyone buying a house with Bitcoin-TA will also only be paid salaries in Bitcoin-TA from when the contract for the purchase is signed.
Greed will get this Bitcoin-TA economy going, but over time people will become suspicious as estate prices are rising while salaries are not. It is all too good to be true, and there are always enough people that it is too good to be true, but it ignore it regardless. The Bitcoin-TA economy will crash at some point because of market uncertainties as nobody knows the real value of the estate as the money used to buy it isn't based on EVA, but created out of thin air.
An economy based on real Bitcoin has less options for monetary policy, or let's say less scope, but with less scope also comes less risk. Some say with less risk comes less opportunity, but that only counts for a few % of our population as those who are rich and play it smart are the ones who win when bubbles burst.
Just imagine someone wants to buy a house and someone wants to sell a house, the question will be whether the buyer decides to go with a little bit of a smaller house with the label "Bitcoin-Real" and the seller prefers "Bitcoin-Real" over "Bitcoin-TA", because that is the route to go if you want assets that are backed by money that is based on EVA.
Bitcoin carries value on its own merits because effort must be put in to create it. Bitcoin-TA doesn't. The problem is that there is no USD-REAL and USD-TA, we can't differentiate whether the dollar bill we hold in our hands was just a button on a keyboard or a human being's or machines hard work.