Just thinking about this. I really, really don't like our landline provider. Their bills are scammy as he77. They charge me 3 or 4 bucks a month to be unlisted. If I make ANY change, something else changes. One time, a rep from them tells me I can "upgrade my Internet to 7Mbs and it won't cost you anything." I ask, how is that? They say, "because it's a new plan we're offering." I stupidly say, "okay." Next month, bill goes up 20 dollars a month. I call in. What's going on? They say, "it looks like your free 2nd line offer just ended." WHAT? I say that's BS, the woman changed my "plan" and said nothing would be different but the DSL speed. They're not related sir. BS. I say put it back how it was. They say, no sir, can't do. I say, "then lower my DSL speed back down so my bill goes back down 20 a month." We can only go as low as 5MBs. What? Why? You gave me 2 or 3 for years.
Most recent one was this - my internet connection goes down every 1.5 hours or so, like clockwork, then comes back on. Screws up downloads, is irritating, and so on. Call them. You need a new modem. Okay, send me one and bill me. We don't do that anymore sir. Now you have to rent them from us for 7 dollars a month. WHAT? No thank you. I'll deal with the BS interruptions. Turns out later that my neighbors have the same 1.5 hour thing, so it wasn't my modem after all. The conspiracy theory in me wonders if they are intentionally making the connections crap so that people get rid of their paid-for modems and switch to the 1,000 dollars every 10 years modem.
/Rant.
I'm chomping at the bit to kill my landline. As I told my hard line company, "you're working really hard to push me away, and, as soon as I can, I will."
In sum - DO IT. I don't have enough knowledge to know whether a land line is somehow more stable in emergencies than a cell tower signal, but I'm not sure why that would be. And not sure the remote risk that it might present would be worth holding on to the phonosaurus.