Off-road diesel is not the same as home heating oil, not around here it is not (and I doubt that it's different elsewhere, but I can't claim to know what happens everywhere). While folks have, and can in older engines (which I have plenty of), run it in their equipment, home heating oil is different.
"Additives" could be any number of things. Modern engines almost all require "additives" of some sort: those used in engine oils make a very big, positive impact. Using the word to sound scary breeds ignorance.
How many regen issues are there? Before going on a big scare campaign how about quantifying this supposed "problem?"
My data point, MY personal experience, is that I have 216 hours in about 1 year on my Tier IV DPF tractor and I have not had any regen issues (and regens, as I've noted, for me, have been more than tolerable- only once did I keep running the tractor when I'd have otherwise not cared to- I was out in the field and didn't really need the tractor running at the time but the regen popped up so I set the RPMs and let it go- I was on-foot doing some fencing).