That is a really great presentation, I enjoyed it very much, thanks for posting.
"Recreational" (no stop) diving does not require decompression stops, the safety stop is an elective, conservative addition to the profile. For no stop diving, the various decompression algorithms will simply give you varying lengths of NDL. All have proven to be "safe", I know of no evidence to the contrary. There are unexplained episodes of DCS using all decompression algorithms.
The decompression part of the decompression algorithm comes into play when the NDL is exceeded. The excellent presentation by Simon Mitchell pertains to this topic.
Dr Mitchell's conclusions appear to be well supported. It is interesting that he shared his personal decompression algorithm choice during the presentation and puts his beliefs into practice, Buhlmann ZHL-16C 50/70-75. This GF lo is higher than is often mentioned. As an example, the Shearwater Petrel/Perdix default is 30/70, a relatively common choice for technical divers.
I would be very interested if others would share their choice and reasoning of their GFs used for decompression diving.