will it help Bitcoin to "moon"
Imho nope, not this. If there will be inflation as said, Bitcoin will look like rising indeed, but not "to the moon". If there will be a market crash, again, people may rather sell their Bitcoin investments than buy.
Imho people need extra money to invest and there has to be another trigger - maybe in adoption / chain of shops / businesses / proper recognition as money in legislation - to get "to the moon" "and beyond".
Of course, we can get "to the moon" from bubble to bubble, but the periods in between will be painful and I hope that maybe it could be avoided.
For a bubble the trigger can come even easier and can be almost anything. But QE is not something to qualify even for that.