Typically, any note that you can still have a decent chance of finding at a bank, isn't rare nor valuable. I even regularly find notes from the 1969 series though condition isn't the greatest. Those '69 notes are only valued over face if their condition is near, or they are, uncirculated.
When I sold my collection, I had over 160 series 1999 $1 notes. The majority being uncirculated replacement notes. This is a pack of 1999 $1 St Louis replacement notes.
Unlike coins, paper money is taken out of circulation regularly, which is why bills over 20 years old are decently rare. So in circulation, they are rare, but not to collectors. Since they are taken out every "6.6 years" (https://en.wikipedia.org/wiki/United_States_one-dollar_bill) the mint has to produce tons and tons and tons of them, more than they do with coins, because the previous generation is no longer active. So pretty much, high supply, low demand (from collectors), so they have barely any collectible value.