Wolf: Since the doer knows the Machmir Shitta, and chooses not to follow it, I can see a Rov saying it is a Maizid, since the doer should have known better.
Working on it:
Internet is different because the actual internet is not an issur, but there may be a gezairah by her community not to use it (similar to TV, to a large extent). Chometz on Pesach is actually assur.
The fact that she thinks that internet is “assur” just speaks to the method of teaching (Don’t touch the tree, because if you do, you will die!!!) vs. the actual dinim involved.