I think a heat pump based dryer will benefit from a lower wattage. When heat flow becomes lower due to lower power supply, the temperature gap from the heat pump becomes smaller and its COP increases (amount of heat transferred per unit of power). Longer drying time means also more time for heat loss through dryer door and surface as well as more motor rotation. I believe you may still save something here.
A dryer using electrical resistances to generate heat might see less benefits, its heating temperature could get lower leading to slightly less loss, but the longer drying time and motor rotation may cannibalize those savings.
When clothes are getting dry, so long these remain in the wet bulb drying phase, its temperature should remain constant. That does not change when power is halved, unless you go too low and then there is no enough heat to effectively dry clothes.
In general, requiring a lower power should be very beneficial for the grid and equipment costs, right?
Would inverters opperate more efficiently If the power demand is 2,5kW instead of 5kW?
I believe most home appliances aren't designed with a specific power because they need it but because people want things as fast as possible. Who wants to wait 8 minutes to boil water for tea? Most of us would like that in just 10 seconds or less.