Oh, I didn't pay enough attention, a TD124 you say!
It is DEFINITELY the 'liftable' thin lightweight easily distorted cover that is slightly warped as mijostyn said.
I LOVED mine, best BASS ever! EXCEPT, it's bearing is very susceptible to vertical movement, not good match for my too flexible floors.
http://www.soundfountain.com/amb/td124page.html
Why a liftable platter cover?
TD124's motor/bearing/lube need to warm up/loosen up, then you adjust the speed, then, every once in a while you re-check/refine it's speed, using the mirror showing the strobe dots on the underside of the main platter. More people join the party, room warms up, go check again!
Clever 'no-contact- speed solution: Adjuster moves a shield that alter's a magnet's pull (more or less) on the underside of the platter to achieve perfect speed. It ain't direct drive, it ain't quartz locked.
That cast iron platter weighs 4.5 kg (nearly 10 lbs), it's magnificently machined bearing, there is NO WAY it is warped. If it was misaligned to the bearing, it would be more pronounced than OP has.
Remove the platter, drop it back into the bearing sleeve, go make toast, it might have dropped all the way down when you return. The clearances are so refined the air has to escape before the bearing can lower. Push down, it won't go. Just wait. First time you do it, you think something is wrong.
During play, you do not want to turn it on/off, you don't want to wait for such a heavy platter with magnificent bearing to stop spinning, SO, their clever solution: a thin platter cover that you can raise/lower to disengage/engage the constantly rotating platter below. Raise, flip/change LP, lower lightweight platter down onto the main rotating platter, spin it does, instantly correct speed.
Trying to 'fix' the slight warp in the platter cover may worsen it.
Live with it's slight warp? Have a long peek at this, listen to specific frequencies on test lp
https://www.vinylrecorder.com/stereo.html
Know this: it is more important that your anti-skate is correct.