The logic in that is flawed.
Yes, nominal rates increase when inflation does, but that doesn’t mean treasuries provide a hedge to rising rates. You wouldn’t want to be holding treasures *while* nominal rates rise.
It’s just saying that nominal rates will increase, and so the return of government bonds will be more attractive. But after the fact.
From a TIPS perspective, yes the fed are manipulating real yields more than nominals, but there is a big divergence between real yields and inflation expectations. The last time the gap was this large was just before the taper tantrum. If the fed do taper, then real yields have to rise too. Like nominals, you don’t want to be holding TIPS when that happens.
TIPS are a good investment when inhalation *expectations* rise. Not when inflation actually happens.