No. They are included in the R because when that acronym was created, they were a subspecialty of radiology.
To the OP: ROAD is an acronym that has been around for decades. You can't start adding letters to it any more than you can add letters to other established acronyms -- if you do you simply sound foolish to the generations of folks who have known and used the acronym for years. ROAD encompasses a historical balance of prestige, lifestyle friendly, lucrative and competitiveness. Many of the other fields folks try to add when they play with the acronym lack at least one of these factors.
Anesthesiology has had a rollercoaster history in terms of popularity/competitiveness, but is in ROAD because at the time that acronym was created it had a long history of being a lucrative, competitive, lifestyle friendly field.
As for EM being equivalently popular/lifestyle friendly as some of the others, you have to realize that the shiftwork schedule has only very recently been adopted, and it will take at least a decade or so before it's clear whether this is going to emerge as a true competitive lifestyle field. There is often whipsaw effect when this kind of change gets made, and there are no shortage of current critics of the EM shift training who have suggested that the current crop of trainees aren't spending enough time in the hospital to learn what they need to know. (A couple of EM programs have already adopted a required prelim year, and it's conceivable that more backlash may occur down the road). So it's really too early to elevate this field to the ROAD level, even if it were proper to toy with age-old acronyms (which it isn't).
But the short answer is that if you post "ROADE" like it's something commonly understood, you look foolish. Sort of like if you went on a diving website and added E to SCUBA.