It's not an either-or. 100% of all Bitcoins in existence are saved all the time. 100% of all USD in existence are saved all the time. The only difference is how fast they change the hands of savers.
There is no such thing as an arbitrary t="amount of time bitcoins stay in your wallet", below which it's magically not saving anymore.
A currency that isn't saved is a currency where t=0 which is clearly impossible.
You could argue that the rate at which money changes hands is lower for BTC, but I don't see why that is a bad thing.
Bitcoin doesn't subsidize (long term) saving, all it does is not penalize it.
Everyone has their own utility for deferred consumption. Inflation distorts this and takes away people's choice to defer consumption. Less choice = everyone is worse off.