This is what I did. After several re-solder attempts I decided to replace the caps. I had posted here, but did not have the cap specs I used. I noticed in a thread someone mentioned just re-soldering the caps. When I originally did that, it worked for a while. Twice. Then I replaced them. I think I now have a few thousand miles on the module. I put 22k miles on the car since I bought it last year and use the cruise often. So in my case, replacement worked well.

And for the record, I had used a solder removal tool to clear out older solder and use new. I usually always put fresh solder on things I freshen up.

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1991 560 SEL / 185k miles
1992 750il / 17k miles - project car