Like I said on another thread here, the floor of any space is potentially always going to be the dirtest part of the area. Because of this, the laboratory tests can say what they like, but for the man-on-the-street it will always come down to what looks clean, or at least looks clean enough.
The reference to convection heaters is another debate altogether, as many of these have thermostats which of course shut down the electricity supply at intervals. The convection heaters by design are energy inefficient as the heating element is what heats the air, but their advantage is that they can heat rooms fast. An oil filled radiator as a contrast uses electricty to heat the oil and the hot oil is what heats the air. This method takes up time to heat the room, but once it's at temeprature the oil retains so much heat and the heating element cuts in & out via the thermostat to keep the oil hot.
Even if a convector heater had a lower KW rating it would not svae electricity as it would need to be running for longer to get the room up to temperature.
Because temperature and time can be measured, it is very easy to make calcualtions on energy consumption. The equation very clearly consists of time taken to reach the desired temperature in an agreed condition (for example a room of a certain size with all the doors and windows closed) and the power consumed to get to that temperature.
It's like 3KW fast boil kettles. The time taken to get the water from cold to boiling point is much less than it is for a 2.2KW standard element kettle. So whilst it uses much more power when it's on, it's on for much less time to do the job.
Going back to the vacuum cleaner, this of course draws energy the whole time it's in use - it doesn't rely on external factors as temperature to control the power consumption.