what criteria do you use to block a website

Last week I was able to use https://tamtwirlers.org/taminations/ website. this past week I may get the start page to load, more often than not. Yet when I hot spot to the AT&T network on my phone I don't have issues.

So if you are going to block a site, it would be nice to at least let both the site owners and anyone who trys to use the site that it is being blocked and why. Or is this beyond the capability of the filtering software has been implemented? It is a disservice to everyone.