There are quite a few things wrong with that, first of all the efficiency is terrible (that's why they're banned in Switzerland since 2009), secondly the house installations in a lot of homes would probably not be able to cope with the power required to heat all rooms (in my apartment in Switzerland, the fuse would pop out when I turn on two of those 2000W heaters). Third, it's far less convenient if you need to set the heat in every room separately, instead of turning on/up/down/off the central heating system when the outside weather changes.