super slow ( server side )

isn't down, but very high latency

It's possible you can see higher latency, depending on what servers you're connecting to.

You might check out the following.

https://support.chess.com/en/articles/8652402-how-can-i-optimize-my-online-chess-performance

https://support.chess.com/en/articles/8584209-how-do-i-fix-my-disconnect-lag-issues

this article for live game, no?
ping give me :
Pinging live.chess.com [104.18.141.67] with 32 bytes of data:
Reply from 104.18.141.67: bytes=32 time=70ms TTL=50
Reply from 104.18.141.67: bytes=32 time=69ms TTL=50
Reply from 104.18.141.67: bytes=32 time=70ms TTL=50
Reply from 104.18.141.67: bytes=32 time=74ms TTL=50

Tracing give me :
live.chess.com [104.18.141.67]
over a maximum of 30 hops:

1 1 ms 1 ms 37 ms 192.168.1.1
2 23 ms 2 ms 3 ms 10.143.0.1
3 3 ms 2 ms 2 ms redacted
4 2 ms 2 ms 2 ms redacted
5 3 ms 2 ms 3 ms 192.168.144.26
6 3 ms 2 ms 2 ms 192.168.144.25
7 18 ms 20 ms 19 ms redacted
8 18 ms 43 ms 21 ms redacted
9 20 ms 40 ms 20 ms redacted
 10 76 ms 106 ms 73 ms 162.158.160.248
 11 71 ms * 71 ms 162.158.160.161
 12 71 ms 111 ms 75 ms 104.18.141.67

for chess.com spike to 92ms :
Pinging chess.com [104.18.141.67] with 32 bytes of data:
Reply from 104.18.141.67: bytes=32 time=71ms TTL=50
Reply from 104.18.141.67: bytes=32 time=92ms TTL=50
Reply from 104.18.141.67: bytes=32 time=71ms TTL=50
Reply from 104.18.141.67: bytes=32 time=70ms TTL=50
tracing chess.com :

Tracing route to chess.com [104.18.141.67]
over a maximum of 30 hops:

1 1 ms 1 ms 1 ms 192.168.1.1
2 2 ms 2 ms 2 ms 10.143.0.1
3 * 2 ms 2 ms redacted
4 5 ms 2 ms 2 ms redacted
5 2 ms 2 ms 2 ms 192.168.144.26
6 3 ms 3 ms 5 ms 192.168.144.25
7 18 ms 18 ms 18 ms redacted
8 30 ms 21 ms 19 ms redacted
9 25 ms 20 ms 19 ms redacted
 10 71 ms 82 ms 74 ms 162.158.160.248
 11 79 ms 81 ms 72 ms 162.158.160.161
 12 71 ms 72 ms 70 ms 104.18.141.67

The website and live servers are different. The website is behind a content delivery network (CDN) for most things and random pool play will depend on where you and your opponent is in the world when the game is paired (distributed live servers)