In general, it would depend on the type of notice. The bar is high for process servers because of the extraordinary importance of the news they're delivering. H

In general, it would depend on the type of notice. The bar is high for process servers because of the extraordinary importance of the news they're delivering. However, many contracts and statutes merely require "written notice." In these situations, the distinction between snail mail and email can matter, but I don't think it would often hinge on one's ability to ignore it. One can just as easily ignore snail mail as email.