No, just a requirement that you submit your addon for signing, submit to a separate agreement[1], and their policies[2] (which has separate sub-politics about data usage), regardless of whether you offer it on AMO or not.

[1]: https://developer.mozilla.org/en-US/docs/Mozilla/Add-ons/AMO...

[2]:https://developer.mozilla.org/en-US/docs/Mozilla/Add-ons/AMO...