Scott,
FWIW, I have a Becker Europa mono, also period correct, purchased rebuilt from Becker. When still it sounds fine--like yours. Under motion it isn't as good; best on the stronger stations. There's a little ignition noise, usually on fringe stations. It can't hold a candle to any modern radio.
I'm not really sure how good these old radios ever were.
Contact me off line; I'll put you in touch with a local MBCA friend here who repairs them. Not that you would send it here or whether yours needs any repair, but just to get perhaps some confirmation on just how good these old radios were or to see if there is anything else you can do. I live with my noise.
My car had the Blaupunkt Frankfurt, too, probably dealer installed, and it was dead as a doornail when I got my car. Everyone told me to throw it out, so I did.