The kWh/1000h does convey more information than just W though. If I buy a fridge and it says 100W I wouldn’t know if that’s its max power draw or average over time. With the 1000h in there it’s pretty clear we are talking about the average.
Also people who aren’t technically minded might only know “kWh” as that’s what it states on your power bill and they can directly guess what kind of energy bill this fridge might cause.
So you are technically correct I guess and we all know that’s the best kind of correct.
We do have worse stuff in the metric system though, kcal is not the same as the SI for energy (J) for example. Also everything involving time gets messy quickly. Nothing compared to the imperial measurements obviously