The advice is sound, to me at any rate, although I suggest the first turn-on of the leak is around five seconds - then leave for a couple of minutes and then try for thirty. Hifi dave's Stereo 20 was also rebuilt at some time, but there's still a problem with one of the output valves glowing red internally after five minutes or so, preventing long term use - and it's NOT the valve.... Sounds great for the very few minutes it's working though 
I worry about these old Leak amps as they don't have bottoms fitted and 'everything' is exposed. Please take extreme care - blu-tac it to a wood or stone-composite base for some sort of safety I think.
The CD player shouldn't suffer so, but it might be worth taking the top off and checking the laster lens for contamination. The transport used (a CD-M9 IIRC) was the best that Philips ever made for tracking bad discs (if not the most solid) and seems to last well if kept clean. The drawer loading gear causes trouble though but pattern ones are available on ebay. be VERY careful if you need to ever replace this part, since the ribbon connectors for the mech are very frail and very easily damaged... Arcam can still do some repairs if necessary I understand.
I can't go on and I can't go back, I don't feel so matter of fact,
I tried and tried to make good sense, What's the good to try it all again?