Generally speaking, if you see someone using something like 4", they are usually referring to the OD. Most distributors will say something like 4 x 3.5" implying 1/4" wall thickness.
As ck pointed out, you don't need a thick wall when it comes to tube but you generally won't find tube in over 1/4" wall anyway, it simply isn't much of a commodity. 1/8", 3/16", and 1/4" walls are usually all most distributors will stock. In reality any will be fine for a reactor though the thicker you go, the more surface area, therefore the stronger the joint as well as the material. But if you get a good joint, even 1/8" wall is fine insofar as strength goes.
HTH,
James