Oh weird, I'd never really cross shop between the 2 but I have a Type R now replacing my 16 GTI so I can have some input on this, and you can probably have similar experience making the move...
GTI is an overall better car, full stop. Now thats not the whole story and depends on your priorities that may not be what you value...
From DD aspect, GTI has pretty much superior everything in terms of what you want a DD to do. Its not boring, easy to live with, practical, gets better mileage, generally more comfortable, much better equipped, lower running cost, better built.
Type R is a more interesting car, in good and bad aspects. It looks bonkers, the seats are fantastic, rides surprisingly well and livable for something as stiff as it is. Has a ton of space to carry things and people. The bads are plenty though. No heated seats and mirrors, infotainment is garbage, all the wings, body kits, fake grilles...etc makes for a hard car to maintain look wise. 20" wheels are dumb(I DD mine on 18s). GIANT wheels means a lot of space are taken up by wheels and tires when you are carrying stuff for trackdays/autoX. I think interior packaging isn't as well done as VW even for a bigger car. And it is a bigger car, for good and bad. Mileage for me on DD duty is low-mid 20s mix condition driving. GTI gets high 20s to low 30s. Tires are expensive for this car also.
Now it drives FANTASTIC for a stock car. Its neutral, can put 300 horses down for a FF car, suspension tuning is spot on. I bought it specifically to get a faster and practical car to change up a bit for autocrossing, so I am consciously picking those priorities over the GTI. Whether you want to do the same its your call. If you can get a Type R at the MSRP its a fantastic deal for a fantastic car.