Is it a good idea to buy CD players over 10 years old even it is a reliable brand?

Just blew a grand on an old LINN IKEMI cd player.  Sounds better than streaming with the 5k dollar DAC I have. You need a have a state of the art DAC to surpass old reference cd players. So buying an old cd player is not a waste right now. Plus it's always fun to scavenge record stores for CD'S and if your cd player has a drawer mech like my LINN then it's really cool to play CD's. 

From costly experience I would advise only buying a second-hand CD player if the full transport mechanism is still available. Furthermore, if you like the sound of the player you buy, I would budget for purchasing a spare transport as soon as possible, and keep it safe. 
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My old Naim CDX died and a new transport is no longer available so I purchased another CDX, thinking this was a one off. That too had the same issue after a time. It appears it is common for a Naim CDX to give up at the 20 year mark. It was an expensive mistake.

No.

Definitely not.

Why buy a used CD player when you can buy feature festooned reliable latest technology from companies like Marantz, Sony and Arcam for an awful lot less than $2-3k?

Certainly not for sound quality either. CD players from the 80s can match recent designs, depending upon taste, but unless there’s some quaint anachronistic reason, why ever go there?

The only CD players I ever heard that stood out sonically (albeit marginally) were the Linn CD12 (scale), Rega Saturn (analogue) and the Cambridge CD4SE (vivid tones).

None of them are cheap enough or easy to get hold of to warrant my swapping them for my Marantz CD6000ki - which I think sounds more tonally balanced than any of them.

I'm not sure I even belong on this blog. I bought a used NAD CD player, built in 1999, for the princely sum of $50. The display is shot, even after replacing the backlight. But it still spins discs and has a digital output that I utilize through a fairly recent Arcam DAC. The playback, trough it's resident DAC via the analog out, is also listenable. I assume this deck will crap out, at some point, never to be repaired but replaced with a similar machine at a similar price. 

I would not buy a 10 year old player, even if its moving parts are still available as of today you have no guarantee that they will still be available a couple of years from now.