First of all, radio was all about wireless information transfer from its early days.
Secondly, using RTTY, PSK31, Olivia and other digital modes you can send information from one computer to another in large quantities, high reliability and with very little training.
Thirdly, when zombies start attacking you will not need to send megabytes of data around. You will need simple and reliable means of communication. Given that most ham radios are designed to work from a car battery (13.8V) (except HTs, which only charge from that power) you are all set.
Digital modes will be very handy in larger communities of survivors. Hams will set up a national communication network which will be doing largely news and announcements - something that you won't get from anywhere else. You can run Internet over packet radio as well, especially on V/UHF, but voice or RTTY transmissions are really all that is needed.
Getting a license today allows people to buy radios and to learn how to use them. It's not a rocket science, but training helps in operating them correctly when there is no time for experiments.
Interesting— obviously information is information, but my question (I didn’t ask it well) was to try to get a feel for the practicality of using that wireless medium for digital here and now. Is it really necessary to deal with cable and dsl? I suppose degradation is an issue over distance.