The biggest issue with safety is not the idea of HSR (hard shoulder running) or ALR (all lane running), but the actual implementation.
M42 J3A-7 (the first HSR section to be built) works well, the road layout is good and easy to understand, and the hard shoulder is used when needed. I wouldn't change this as it is actually very useful and easy to understand.
However, the M1 J10-13 is possibly one of the worst sections of road I've ever seen, with ridiculous road layouts and the hard shoulder/4th lane randomly switching back and forth erratically (what is the point in ALR through junctions when the lanes become the hard shoulder most of the time?) J13 and new J11A also have atrocious layouts.
This is contrasted with J6A-10, which is possibly one of the best sections of motorway, with a full 4 lanes and a continuous hard shoulder (to the point of needlessly rebuilding bridges for a hard shoulder when upgraded to 4 lanes), and no lane drops unless traffic levels warrant it (M25 junction).
As much as ALR is unsafe, this section is so much more unsafe and should be quickly fixed in the short term by converting it to ALR. Fix the unnecessary lane drop through J13 (between the HSR and new ALR schemes) while at it and this will mean there is a full 4 lanes without any lane drops between the M25 and M6, and this would mean all 4 lanes could be used properly.