+1 I prefer ultrasonic cleaning. Once is enough, after that take reasonable care of the cleaned records and just use a brush if necessary
I recently bough an Audio Desk used. I have very few used records, and quite a few higher-end pressings. I just completed cleaning all 350 or so. I’m really surprised at how much better they sound.
Once cleaned with US, there is no need to use anything other than a brush - I use the Audioquest carbon.
Prior to this I used the SpinClean - it does an OK job but there is no comparison to US and the manual process is a pain.
Lastly, I don’t understand what a dust cover has to do with this question.