I don't know if anyone has ever "officially" named any of these things that we do. I have always classified them this way.
Reman or Remanufactured is a bunch of reloads by a licensed commercial outfit. With this product, you should expect the whole box to have exactly the same projectile and powder charge, but the head stamp and nickel vs brass will vary wildly. This is Freedom Munitions.
How is this different from what a handloader builds? Well, if the handloader in question is only concerned with making his ammo on the cheap and stacking up as much as possible, as quickly as possible, then ultimately there is likely to be very little tangible difference.
I don't handload ammo in that fashion, I would have no interest in this hobby if the handloads I produce were on the level of Freedom Munitions, which is some of the worst dreck on the market.
If "used" brass is properly resized and prepped, it is really no different than new ammo.
I will never agree to this statement. When you are using a myriad of mixed headstamp brass, you are getting mixed dimensions, everything from brass thickness to bullet pull/case mouth tension to the thickness of the case head to the internal capacity of the brass.
Using random mixed brass is going to give different results than using new brass where all is the same or using reloaded brass that is all the same or extremely similar.
For those that would question this, I only ask if you've ever seated bullets with a single stage press and felt a wide array of difference in the press lever while seating across different brass and headstamps.