I don't think that's how it works. It does do "live" streaming, but it's entirely via the company's cloud server. That's another thing with the Ring device: you need around 5 Mbps upload to your Internet provider and a WiFi signal strength of greater than around -50 dBm to stream. If your Internet uplink or WiFi connection isn't up to it, you get pixelated video that starts and stops and stuttering audio, or nothing at all (black screen). Even when it does work, it's often 10-15 seconds before the streaming starts, and by then the person who rang the bell or set off the motion detector is gone.
So, you're saying it goes like this:
Ring Device --> WiFi --> Internet --> Ring Server --> Internet --> LTE/WiFi --> Phone
Wow... I honestly can't even imagine anyone doing it that way... Can you imagine how much bandwidth they'd need to have for that? Plus, you're adding hundreds of milliseconds of latency to the streaming! It would make much, much more sense to stream straight from the device:
Ring Device --> WiFi --> Internet --> LTE/WiFi --> Phone
There is absolutely no reason this can't be done. All they have to do is keep track of your home IP and make sure the correct ports are open. This is stuff that we solved 10-15 years ago (think Skype or FaceTime, which use server assisted, peer to peer audio/video transmission protocols).
Then there's the use cases where you're actually at home, on the same WiFi:
Ring Device --> WiFi --> Phone
Also, it needs 5Mbps upload to work reliably? In 2016?! That's insane! I mean, I can do a crystal clear FaceTime call with only 1Mbps upload... Haven't they ever heard of adaptive h.264?
Sorry, I'm ranting now... It sounds like a really shitty system. You could do much better with a Raspberry Pi + Camera and the Boxcar app on your phone for notifications. Just set the Pi up to stream h.264 video via http and use some motion detection software (plus a physical button hooked to a GPIO) to send you a notification via Boxcar.
I set up that very system about a year ago at my parents place. They live in a very rural area and wanted to get notifications when UPS left a package or something. They've got two of those large plastic chests (like you keep garden tools and stuff in) at the house end of the driveway, next to the mailbox. One for incoming packages and one for outgoing. So I put the Pi and camera in a large weatherproof enclosure and mounted it on a pole between the two chests.
When it detects motion, it waits 1 second, takes a snapshot and sends a popup notification to their phones via Boxcar. They get the alert within 5 seconds normally. They can then monitor the video in real time from their web browser (using DynDNS.com and NAT-PMP). If someone pushes the intercom button, the Pi actually makes a real *phone call* to their phones (through a very inexpensive VoIP provider).
This setup isn't far from a motorized gate, so I originally tapped power from that (and used WiFi). However, a few months back they had to run a new power wire to it, so I had him run CAT5 as well. Now the setup is hard wired and uses PoE.
Anyway, if you want any help setting a Pi up like that, let me know. It took me a weekend to get working (from scratch) and cost less than $100!