That's probably a fine trade-off for the other advantages of living in Sweden, but restricting off-road vehicle use on private property seems excessive.
Banning electric bikes also seems like obnoxious oldster nanny-state behavior.
So, I'm relatively speaking politically aligned towards the right - in Sweden, which means I'm on the average somewhat more to the left than Joe Biden.
I agree with that law. Owning the land does not give you the right to abuse it. The land is forever, you are temporary.
Note that there are exceptions for actual forestry use.
Electric bikes were not a thing when the law was created. But as written, also they are covered, as far as I can tell.
The law can be seen as an environment protection law. Just like you can't pollute the environment on land you own, you can't tear up the soil as side effect of amusement off road driving.
Banning electric bikes also seems like obnoxious oldster nanny-state behavior.