It’s well understood that bikes can impede traffic. The world accepts this, especially on a normal day. It’s why we build special lanes for them (in addition to their safety concerns). But if you have your own special infrastructure, just for you and you’re using the other infrastructure, adding 15-30mins to hundred’s of people’s daily commutes for your convenience, that’s the literal definition of entitlement.
Yes, you’re allowed to do it; just like I’m allowed to get into the elevator and press all of the buttons for my own joy. In either case, we are assholes to most people.