Bedrockgames
I post in the voice of Christopher Walken
These days, barring the use of mobile devices at the gaming table would be a problem for me, because I use them to enhance my gaming participation.
Even without using the internet, my character sheets (and my GM notes, FWIW) have all been on mobile devices since I got a Palm Tumgsten. When I replaced that with an iPod Touch and assorted iPhones and iPads, it all got stored on the cloud in my Notes app and/or emails (shared with the GM).
If I have access to the Internet, I’ll have browser tabs open to powers/spells/abilities I intend to use imminently or frequently used sections of a game’s SRD, etc., because it’s rare that we have a 1:1 ratio of gamers to books being used at the table.
Bonus: texting your GM is a great way to secretly communicate with him, and vice versa.
Bonus bonus: this also matters if the party has a plan they’re trying to conceal from the GM…
Don't get me wrong, I like online games. I play mostly online, so everyone is on a device for the most part as well. The only thing I avoid online is virtual tabletop (I prefer keeping it theater of the mind). I still would maintain that when we are playing in person and devices are down, you get a better baseline level of attentiveness and engagement (there is an certain amount of inevitable surfing that will go on in online games----for example when players are waiting for their turn in combat----that can lead to distraction). But I also agree it has advantages with things like notes and such. I like online gaming, but it took me a while to warm up to it because there is definitely more work to get the feel of a live table. I like online gaming because I have health issues that make in person harder (I can do it, it just isn't especially easy or comfortable for me) and I like that online gaming broadens my player pool to people all over the world. This allows me to have players in my group from England, other states, etc.