There's no well defined line between chasing "old school" and chasing with some equipment IMO. Like most people I chased with only a weather radio when I started and I have absolutely no desire to go back and try that again. I'll take every bit of equipment I can get my hands on. I'm not out there to prove something to myself or someone else. I'm out there to see tornadoes and I'll utilize whatever equipment I can if it will help me reach that end.
I don't think some people's idea of "old school" is really that old. If you sit at home and poor over data on the computer, but happen to stop when you walk out the door to chase, that's not a big deal to me. I can go do that too and be just as successful as the next guy. What is really old school IMO is somebody that chased without all the fancy models, high definition satellite and detailed surface maps where stations update every hour that we take for granted now. I'll be the first to admit I'd be in some serious trouble without that. If you can take surface charts, soundings, upper air charts, etc (all the things that have been around for a while) and find a tornadic storm going off that alone, then I think that's something to be proud of. If you threw in some decent satellite images I think I could pull it off and be successful every so often chasing that way, but I don't want to try it. Why would I be rubbing two sticks together when I have a zippo in my pocket?
I'm no tech geek for sure. I have a terribly hard time getting the equipment I have to function properly, but I still love the equipment side of chasing. I really enjoy setting up all my equipment and getting to play around with it in the car. It makes chasing much easier and gives you more time to enjoy the storm. I used to chase with a regular map too and my head was burried in that thing half the day. Now that I have street atlas with gps I can actually watch the storm and not worry about keeping track of where I'm at. Why in the hell would I ever want to go back to that lol.