I think you have your answer, but just for everyone's awareness or whatever...
Typical suggestion/rule of thumb is to go 0.100" over the thread diameter as a MINIMUM. You need enough meat to cut the thread then have a shoulder (in this case, .050" tall). This is because a lot of muzzle devices (or female threads in general) have a relief cut that is a certain diameter over the major diameter of the thread. With too small a shoulder you run the risk of either damaging it, or swallowing the shoulder with the relief cut and bottoming out on threads, not a shoulder at all, which is almost certainly not going to end well.
From what I recall, I think most Remington sporter barrels end up around .650" at the muzzle, so you'd have to turn it down to .623" or so, then cut threads. That would leave you a .013" shoulder. Not enough to torque anything down onto without damaging the shoulder. So for a 5/8" thread, .725-.750 is the typical recommendation for minimum barrel thickness before turning down and threading. Typically you also want .100" of thickness in the barrel wall in the threaded section (thread OD .200" more than bore ID). So for example, a 1/2-28 thread is cutting it close for a .308" bore because you've got slightly less than .100" wall thickness. If you go too thin you can run into accuracy problems or even have the threads break/shoot off.
The other issue is alignment. Taps and dies are terrible for this without rigid fixturing and even with it... single point cutting is more likely to do a straighter job. This is why most of the time you see barrels set up in lathes and indicated both axially and for position (center axis of the bore at the muzzle aligns and coincides with the center axis of the lathe spindle). This ensures there are no stikes, even if you screw on a 9-10" long suppressor.