> This is very interesting. I guess they mean any off campus rights
No, they mean any Constitutional rights.
> Many rights are clearly restricted on campus, including school events at any location.
To the extent that that is true, that’s not a waiver by the student. But while it allows considerable regulation, the limitation on free speech on schools is quite narrow.
> Yet we have plenty of laws which are also not strictly defined and they are upheld (so much for lenity).
Lenity is not absence of strict definition of what is prohibited, but government’s power to not fully prosecutr what is prohibited. Strict definition is about the boundary of what may be enforced.
> They do mention a test of whether the person can be punished off campus for the speech. They only investigate this from the standpoint of the team being "the government". They do not look into whether private teams punish students for similar issues, and thus if the school team requires the same customary practices to effectively function.
That’s because the government has no inherent right to do what private entities may do that trumps Constitutional limits on government. If cheerleading teams need things that exceed the legitimate power of government to function (which I doubt, but whatever), then the solution is for the government not to run cheerleading teams, not for thr government to assume unconstitutional powers.
> Essentially the same reasoning that schools are allowed to restrict other rights in the classroom - that they need the customary authority that comes with the implementation of activity (school, team, etc) because being restricted to only the role of government would make them an ineffective institution.
That is not the basis for the (fairly narrow, in the case of free speech) power of government to regulate conduct in schools beyond what it can do in other contexts.