I just got notified of the approval of my hotel when I was stranded in Dallas recently. The first time, I did not include the credit card statement, so they sent me an email asking for it. When I sent it in, they approved it without any further issues.
Except for calling in initially to get the form, everything was done via email. Overall, not a convenient process, but not an especially frustrating one.
Going forward, I'm going to make an effort to book any winter travel on a chase card with these protections included.