Yes. Not all of the 1st PCIE slots will be Gen5 though. Costs savings by staying Gen4 spec.
All popular/above average B650E mobos that I see have main PCIe slot 5.0 and x16 + M.2 PCIe 5.0. If B650E will be significantly cheaper then I don't get why anyone would pay for X670E mobos as they give us barely anything more. Compare Aorus X670E Master and B650E Master. Nearly everything is the same.
I also see that Gigabyte is preparing their extreme OC Tachyon with B650E chipset.
One more thing I don't get (yet, but maybe will test it soon) is how some mobos have support for DDR5-6600. In theory it shouldn't even boot. Even for rankings all that I see use 6400. My mobo couldn't boot with [email protected]
Btw. I don't think that anyone has Crosshair X670E Gene but the new BIOS was released today. I can't see any update log.