Yup, it all needs insuring here - even the 35cc autocycle I used to have needed it - but it only needed a cheap daylight mot (no lights, indicators or speedo) and tax was £15 insurance was just £50 at the time.
Being hit by a moped could easily cause life changing injuries, so I'm pleased to see them insured.
Being able to "manage" doesn't mean it's not a net negative on society.
If everyone was required to insure stuffed animals it would be cheap and perfectly "manageable" because the risk would be so low and the overhead would be spread over society but that overhead would still be pissed away on something non-productive because the net benefit to society of insuring stuffed animals is so small.