This is always a hard question. How much touring are you planning on doing? Where are you moving? What bindings are you planning on using?
For most folks just getting into it / testing the waters to see if they want to be a backcountry skier, a frame binding and alpine boots aren't a bad idea. It gives you a taste of what backcountry skiing can be, at a low price point, and it will ski just like you're used to, so there's less of a learning curve. From there, you can go whatever direction you want.
However, if you're planning on throwing down for a dedicated backcountry setup with tech bindings, then yes, a full tech setup will be a lot more fun over long days, and is so much easier to walk with than a frame binding.
Most importantly, take an avy class. Gear is great, education is more important. I'd rather take an Avy 1 and end up bootpacking because I have no money left over for touring gear, than buy a full tech setup and go out and endanger myself and others.