The X570 chip itself is quite a power hog mostly due to the PCIe 4.0 controller as far as anyone can tell; it's rated at about 15W as opposed to the X470 which runs at about 5W. Worse is that power saving doesn't seem to work terribly well - the boards still use a lot of power when idling.
Personally I'm running my two Zen2's on X470 boards for this reason - I've no use for PCIe 4.0 in any of my current kit and I wasn't keen on buying a board with such a hungry chipset, as iterations with better idle handling seem to be a way off. The Ryzen 3000 chips are crazy efficient when using the older chipsets (even more so when you experiment with limiting their boost clocks).
(Yes I'm comparing Ryzen when you're talking Epyc/TR but I believe the guts of the chipset/IO die/PCIe 4.0 controller are very similar across both lines, just scaled up from the Ryzen platform)