What does that actually mean?
Cambridge Dictionary: unpleasantly proud and behaving as if you are more important than, or know more than, other people:
OED: Having or revealing an exaggerated sense of one’s own importance or abilities:
Now, what appears to constitute arrogant and selfish behaviour? Generally, holding up traffic.
Exercising your right to cycle between two destinations: arrogant.
Placing yourself in the position of the road recommended by the government to make it slightly more likely to reach your destination: arrogant
A parent cycling on the outside of the child so that passing cars will only endanger the parent, not their child: arrogant".
Whoever is using the term arrogant to describe cyclists should look in the mirror.
The very act of denouncing a cyclist for holding up your driving makes it clear that you are the ones with the over-inflated sense of self importance. The fact you consider it more important to arrive at your destination to your unrealistic timetable than it is for everyone to arrive alive is arrogant.
As for "selfish"? Surely wanting the roads for driving and being unable to share it with anyone on bicycle, horse or foot counts there.
Cyclist haters: the word you are looking for is : Insolent — rude or impolite : having or showing a lack of respect for other people.
Because yes, we have no fucking respect for people who try to kill us as they squeeze past at pinch point, so will insolently get into the middle of the road to stop all but that 5% of drivers who seem criminal psychopaths on day release community tasks from school run to delivering parcels. Because yes, we have no fucking respect for anyone who beeps their horn repeatedly when we are on the school run and want to get their child there alive —and will insolently slow down just to piss you off. And because yes, if councils are going to build bicycle infrastructure that is utterly laughable, we aren't going to use it —and will continue to hold up your journeys.
Yours: the insolent cyclists