On the iPhone it does allow disconnected operation. So you would need to swap devices when your home connectivity goes down, but you'd still have your data.
Let's see if I have this straight:
OmniFocus is available for Mac, iOS (iPhone, iPad), and on the web. But not yet PC.
Similarly, OneNote is available on PC, web(--), Mac (--), iOS (iPhone, iPad)(--).
(--) => not fully functional. I know that only OneNote 2016 on PC is fully functional. I suspect that OmniFocus is not fully functional except on Mac, but don't know, and welcome information.
So I think that you are suggesting that
On a PC I could use OneNote (2016/tablet) and OmniFocus Web.
On an iPhone, I could use OmniFocus-4-iOS and OneNote (iOS--, or web).
I imagine that I could store weblinks to {OmniFocus,OneNote}-web in any appropriate app.
Interesting. Thanks for giving me food for thought. I am worried at how many moving parts there are - I have wasted way too much time making Rube Goldberg systems work. But OmniFocus is so highly recommended...
Q: is OmniFocus/web usable on an iPad (probably?) or an iPhone (screen size problems??) ?
As for disconnected - I imagine that I would lose whatever I am typing into OmniFocus/web when net.connectivity disappears. Only lossage in that scenario.