I go to great lengths to create processes that detect and notify me of issues before anyone notices.
I get non-critical notifications (backup failures, etc) via normal email. I get critical notification via text message and email. I get the emails, and of course texts, on my phone.
I insure the mail notification systems are functioning by sending regular heartbeat emails (usually one per day).
I do not find that connections via anything but a VPN/RDP are useful to trouble shoot most issues. The screen real estate simply isn't there.
I have the ability to use my phone as a hotspot.