Normal, especially when below freezing. I don’t think it’s lifter noise, the speed isn’t consistent enough. Sounds more like a leaky exhaust manifold to me, but mine are fine. Every 6.4 I’ve ever heard start sounds the same.
I don’t think the 5.7 is as noticeable due to them being in cars and 1500s that sit lower with a slightly different exhaust system. You can still hear it in a 5.7, just more muffled. We have a shop rig with 8k hours on a 5.7 in 110k; engine sounds like a sewing machine but runs good and hasn’t been cracked open. That’s with a 5k oil change interval using conventional oil. I figure 8000 hours would be like a normal person driving 400,000 miles.
These engines are loud but in my opinion the vast majority are trouble free.