Correct.
I know folks with kids who haul everyone around with an e-bike cargo trailer. The e-bikes these days are powerful enough to haul everything. But if I had kids with me I'd be too scared to bike in traffic, it only works if you have routes you feel very comfortable with.
Hockey is a driving sport, and the better your kid is, the more you drive. If you have a halfway talented daughter who plays hockey, you really drive. Even if I would bike around Columbus with a trailer, several of the rinks I go to in a given season (Cincinnati, Cleveland, Oxford, etc) are impractical for a bike.
I know people where they used to share a small very fuel efficient car and one spouse would bike around and the kids used to ride in a bike trailer. But then the kids got big and had activities all over town and they broke down and bought an SUV.