Even with specials, the FAA would not reduce the circling protected airspace.
They would not, however, the FAA could very well (and do, routinely) issue Ops Specs that are more restrictive for certain operators, operating under 14CFR121.
Examples would be...no circling allowed, or not allowed to certain runways, even though circling is indicated on the Jeppesen approach chart...and not all operators use tailored charts but general issue, restriced by said Ops Specs.
These regulations do not apply specifically (in many respects) to 14CFR121 operators, and the operation of heavy jet aircraft.
Try again, BOAC.
Now, any 'FAA inspector' who failed ME for flying more than 2 STATUTE miles away from datum but inside 2.3 NAUTICAL MILES AND with the 'environment' in sight and an IFV of at least 2 SM would, I assure you, him or herself be 'failed' for talking out of their arse.
You would still not be issued the type rating.
So, 411A, what if the visibility is 3sm? Do we still have to circle within 2sm from the runway?
Negative, you circle to the indicated distance, because, with a heavy jet airplane, the minimum circling altitude is normally increased to allow circling at that increased distance....or, the altitude indicated within your airlines approved Ops Specs.