Claude now does have a weekly limit so if you are able to hit your weekly (undisclosed, dynamic) limit in 2 days, you're unable to use the services for the next 5 days. That is what Cerebras is referencing with no weekly limits. Claude has session count limits, dynamic limits within each session, and now weekly limits on top of all that.
Cerebras is jumping on a marketing faux-pas by Anthropic. I say this for the point you bring up about monthly session limits - no one on the Claude subreddit has yet to report being hit by this despite many going way over that. These are checks to deal w/ abusive accounts.
> no one on the Claude subreddit has yet to report being hit by this despite many going way over that
Because it hasn't gone into effect yet:
"From August 28, we’ll introduce new weekly limits that’ll mitigate these problems while impacting as few customers as possible." [0]
