Delivery drivers and emergency services have to park in no-parking zones to do their job.

Why are you lumping emergency services delivery drivers when that wasn't park of the discussion? Emergency services are legally allowed to park anywhere, because they're usually there for an emergency. However, sometimes emergency vehicles abuse this power when it's not a emergency, or just don't consider anyone else when they could easy park in the space 10' away. In those cases, they're not breaking the law, they're just being an asshole.

For delivery drivers, I think there's some nuance as you're right, on some streets the only option besides parking illegally is lugging the cargo 5+ blocks. In those cases, we should write this exception into law instead of just letting some people break the law as they see fit. However, I would estimate, in most cases, delivery drivers do have a good alternative like a loading zone or an alley, they just don't want to adjust.

Also, on the bike lane, they’ll bother fewer people than on the car lane. At least in the street I live on, fifty cars will pass before one bike does - as unfortunate as that fact is.

This might have something to do with people feeling unsafe biking when there are vehicles parked in the bike lane all the time!

Delivery drivers also frequently block driveways and prevent cars from going in or out. It’s not like they have a vendetta against bikes.

Personally, I don't think it's okay in that case either. However, in those cases, it costs drivers time waiting. With people on bikes, it costs them safety.