They all wobble front to back a little.

Put it in test and take a video while it goes up and down. I can't tell what the gameplay impacts would be.

For the video have it go up/down at least 3-4 full cycles. Try to get the test screen in the shot so we can see the diagnostics on the test screen.

faz

looks to me like you have to much play in the bushing.

Here is two things to think about if you own a doctor who.

Faz has an excellent write up on everything you need to know about the mini playfield . https://sites.google.com/site/pinballfaz/

also would suggest getting on Darkpinball's waiting list for his Doctor who smooth lifter kit:
https://pinside.com/pinball/forum/topic/modified-doctor-who-mpf-elevator-2nd-mod

I have 2 doctor whos that ive put the kits in and they are awesome ! Its like night and day. but there is a awaiting list (or was anyway) so while this wont solve your problem today its a good thing to get on the list so that you can get a kit and shouldn't have to worry about those brackets anymore !

If your brackets are shot I have two sets that weren't to bad of shape.