Apologies guys - another non-controller here.
AIUI, no speed control may be imposed within 4dme.
The speed control wasn't the "cause" of the incident portrayed - merely one of the circumstances. It contributed to a missed approach and I doubt it is particularly uncommon for whatever reason. It was the MA itself to which the finger was pointed.
I found it laughable that they suggested the tower controller was unaware of the spacing and that a missed approach was likely.
The programme was produced in a sensationalist manner, however the director and producer care to justify it, but I do think that many of the factors which were used as plot devices are quite feasible, even if the conclusions were not those of trained people (thinking specifically about manpower shortages amongst controllers)
I look forward to the next programme, where the scenario is worked by actual controllers :-)