I am saying that they are misrepresenting their situation - the servers are not full, but they only don't allow you in if you are not premium. In a few, servers are not full for premium members
Servers are at selectively maximum capacity

How dare they prioritize paying customers!
Server status could've easily changed during the amount of time it took you to switch accounts by sheer coincidence.

To address both of your points:
1. Yeah, that's not illegal or anything (I don't think), but it's certainly a bit of a low move to lie about server status.
2. I have already tried the same trick 5+ times at this point, so there is no telling me it's a coincidence.
Also I am a paying customer, but that still doesn't change the fact that lying about server status is bad optics and people should know about it.

I'm going to assume you have Chesscom's support approval to have multiple accounts;
https://support.chess.com/article/596-can-i-have-multiple-accounts
I do believe that Chesscom is under unusual stress with new accounts joining the site. I don't understand why it bother's you that paying customers might get special access to the site, while free accounts may have to wait a little longer to get access?
P.S. - I see you from your profile you show the Ukraine flag as your country. I don't want to hijack this thread, but I'm going to assume you are from Ukraine. Before I joined this site, the last time I played chess was when Bobby Fischer stood alone, fighting against the Russians. I support Ukraine!

I am saying that they are misrepresenting their situation - the servers are not full, but they only don't allow you in if you are not premium. In a few, servers are not full for premium members
The site is absolutely receiving record traffic and the cap on players in Live, during peak times, is implemented to assist with keeping the site stable and prevent crashes. That is the case until staff are able to implement all planned optimizations and capacity increases to handle the current and future traffic loads
https://www.chess.com/blog/CHESScom/chess-is-booming-and-our-servers-are-struggling


I enjoy playing on Chess.com but due to the current connection problems I prefer to play on "Lichess" and "Chess24".
When the connection problems are resolved by upgrading the servers, I will gladly return to play on Chess.com.

Lichess is the superior site, no doubt, I only play here occasionally. But the actual server error is not the topic that I am trying to bring to light.

Pb of connection too often, If it continues I subscribe on another platform, I have never encountered a problem on Lichess which is however free Pb de connexion trop souvent , Si ça continue je m abonne sur d autre plateforme , je n' ai jamais rencontré de souci sur Lichess qui est pourtant gratuit
Registered here today at noon. Could not play a game so far.
Also a daily game is not possible.
That is already annoying. Advertise everywhere and be proud that the app is at the top. What's the point of all this if you can't play. I will keep an eye on this. Had even planned to become a diamond member here. I will do that if the issues are resolved in a timely manner. Otherwise, I will close my account again and also not come back. Very sad actually.
Translated with www.DeepL.com/Translator (free version)

I understand the frustration. Let me reiterate, though, the point of this post was to show how chess.com restricts non-premium members' access to the Play feature, which is supposed to be unlimited for any membership, or none.
I understand that Chess.com prefers to restrict new entrants without paid membership. If this way the others can play without problems, perhaps this will reduce the damage that chess.com would otherwise incur. It's just a stopgap measure that shouldn't last long. Whether it is fair is another question. I am undecided about that.
Can't seem to get into Play on this account because "servers are at maximum capacity", so I log on to my premium account and whooptydoo I get right into Play. Happened 3 times as of now. Weird, huh?