Here is a brief (incomplete) history of Citi Bike annual membership prices I pulled from my records.

There's obviously a huge spike from $95 -> $149. From 2015's price of $149 to the new price of $205, I think this slightly outpaces inflation. I would certainly disagree with the notion that the pricing has remained the same for years, as it is consistently increased most years.

The larger prices increases are from the e-bikes, which have increased from 10 cents per minute with a $2 cap for all rides starting or ending outside of Manhattan (when they were reintroduced late 2019/2020), to 17 cents per minute with a $3 cap for all rides entering or exiting Manhattan. That's like a 50%-200% increase over 3 years.