1sat=$1 would be funny because someone at the bank would go crazy anytime you try to cash out currently modest amounts.
0.03 BTC (now $120) would be $3mil, LOL.
In all seriousness, I can see, possibly, 1sat=1cent (in current $) in 10 years, maybe 20.
I can't imagine 1sat=$1 in the foreseeable future.