That's the valve
spring seat.
It keeps the springs centered (concentric), along with providing a wear surface (aside from the aluminum) and to maintain valve spring
installed height. In a nutshell, manufacturers use this installed height to basically measure the tension the spring can exert, both in the open and closed position of the valve. Too heavy of spring wears out the rest of the valvetrain. Too light will let the valve float at high RPM.
I'm more surprised that you didn't float a valve and poke the piston, since the spring effectively "gained" that 1/4"-ish of height from the missing seat(s).
Anyways, unless the head is cracked, still no reason that I can see for it causing to burn oil unless it totally side loaded the guides and broke one/both. The seals won't wear that fast or bad unless the guide is toast. I don't think by missing the seats that the springs would cock at all since both top/bottom spring faces are ground flat anyways.
I'd keep looking for another clue.
I pulled my rocker shafts cause the cam and rocker faces were destroyed. I used a piece of 6mm all thread and a new header nut (yes, one of the tall ones that holds the pipe to the jug) and an aluminum bar with a 6mm hole in it. I used a new one since the shafts are in there VERY tight and wanted new, sharp threads spread over a lot of surface area. Lay the bar over the cam opening and run the allthread into the shafts. After pulling 4 of them (2 heads worth) both the all thread and the nut were junk, so I recommend only doing one head per nut/allthread.
I think it would be worth your time to strip both heads and at least inspect the guides since you're down this far already (especially if you can get away with NOT pulling the shafts
.