but the fact is that CEX has millions of BTC in their possession according to what they are announcing these days - or maybe they are lying to us about it?
It's certain that some exchanges are lying about how much they have in reserve, but you are right - they still hold millions of bitcoin. But if you look at some independent data such as the Glassnode graphs presented in OP's article,
or this from Glassnode, it does show huge outflows from exchanges and the total balance being held on exchanges to be the lowest it's been in over 4 years.
As long as centralized exchanges exist there will be people who are dumb enough to leave their coins on them, but we should be happy to see that number reducing.
I hope it's nothing serious or is this just on my side?
I don't have an account so I can't try to log in, but the link you have provided loads normally for me on Tor.