Of course not all 1000W PSU is created equal, I know that. You cannot damage your computer by having all those extra watts, where not having enough can be damaging. It not like the PSU constant draw be 1000W all the time, it will draw however much it needs to for a computer up to 1000W (maybe lower then that for safe operating ranges, but almost never at that marketed amount). I have 4 physical CPU in my computer and needs those high wattage PSU.
Also you shouldn't even think about even getting close to the rated wattage, as the PSU can not will get unstable even within the upper limits, even with the very well reputable brand.