Here's GitHub's policy:
> We will not be liable for damages or losses arising from your use or inability to use the service or otherwise arising under this agreement.
https://docs.github.com/en/site-policy/github-terms/github-t...
Here's Atlassian's policy for BitBucket:
> 14. Limitations of Liability
> 14.1. Damages Waiver. Except for Excluded Claims or Special Claims, to the maximum extent permitted by Law, neither party will have any liability arising out of or related to this Agreement for any loss of use, lost data, lost profits, interruption of business or any indirect, special, incidental, reliance or consequential damages of any kind, even if informed of their possibility in advance.
https://www.atlassian.com/legal/atlassian-customer-agreement...
Lots of them. See, e.g., https://aws.amazon.com/compute/sla/
Now, they're not written in terms of compensatory or consequential damages, but you will be entitled to a service credit (which is a "financial guarantee" of sorts) if the conditions are met.
Private agreements frequently have these sorts of provisions as well. You need to be a pretty big or strategic customer to get those, though, and they're often paired hand-in-hand with long-term agreements with mandatory minimum spend.
I also swear I've read that same "buy a hetzener dedi install forgejo" etc etc line before, but maybe it's just you're not the only person cynical about the situation.
https://docs.github.com/en/site-policy/github-terms/github-t...
> Short version: We will not be liable for damages or losses arising from your use or inability to use the service or otherwise arising under this agreement. Please read this section carefully; it limits our obligations to you.
https://docs.github.com/en/site-policy/github-terms/github-t...