Well, that's tricky. Personal freedom v. safety!
I suppose it depends on the limits they set. Luggage is weighed of course and there must be an allowance for passenger body weight. Problems arise if someone weighing, say 20 stones, arrives - but so do half-a-dozen 3-yr-olds. (Never used so many hyphens.)
To a certain extent it is sensible to have a safe limit to what the aircraft can carry safely. My mind boggles at the complications which could arise, but on the whole I would agree with standing on some scales (having shed my shoes and coat, bribed the weigher etc.!)