I've scored a damaged MS4623B on Ebay. This thread made me confident to get it on "as is" condition.
First problem was the battery BBRAM issue of course, solved it thanks to info here. With the little caveat that I was unable to find a 27C040 at mouser or Digikey, so I used the SST39SF040 with some Kapton tape and micro soldering to solve the issue with pin 1 and pin 31 incompatibility.
The second problem was the -15V rail having -22V. This was caused by a choke inductor inside the power supply that choose dead by overheating. Fortunately, I had a similar donor power supply and after some fixing of burnt pcb traces everything went to normal.
Worked for a while and then a third problem did show on the error log: "0502 REFERENCE CHANNEL FAIL". I traced it to be de JR signal absent on the down conversion module. Checking MMICs voltages on the input and output found a bad one. Now waiting for the ERA4+ to arrive.
Meanwhile I found the LCD screen to be really dim. While browsing for a CCFL to led conversion kit on ebay found this
https://www.ebay.com/itm/134006180669 that claims 900 NITS and 1000:1 contrast! Bought 3 and will attempt to make them work on this and also on a E4406A and a CMU200 I also have.
I am really grateful to all that contributed to this thread.