I have to mend my previous posts somewhat, but in a frustrating manner, as part of what I wrote seems to be right, while part seems to remain an open subject instead of being proven completely wrong (which would be more enlightening for everyone, me included).
Here are diving statistics for the ten years 1995-2004 in France (a three pages report that you can google by searching "statistiques accidents de plongee", Alain Foret, Dr Grandjean).
A) French statistics. The average number of dive accidents was 315 per year (number of divers in France is less than 100,000). Dr Grandjean (hyperbaric MD) is an expert of the French Federation (FFESSM) who is in charge of supervising the analysis of these accidents. He analyzed annually in detail, not all cases, but a (quite random) sample of (average) 17% of them. All the percentages that follow are based on that sample (I admit that's not satisfying but that's what I got; see also my PS at the end of this post).
78% of the sample's cases were DCS, the rest being classified as lung over-expansion, ear barotraumas ,etc.
18% of the accidents happened to beginners or CMAS * divers (equivalent to OW); 82% to CMAS ** and CMAS *** divers, and instructors.
Only 1% of the accidents happened in shallow water (5 meters or less); 65% between 5 and 40 meters; 34% deeper than 40 meters.
Spinal DCS was 47% of DCS cases; cerebral DCS was 17%; vestibular 23%; bends 13%.
55% of the accidents happened while (seemingly) using proper deco procedures and ascent rates.
Amongst the main causes for the accidents were (most frequent ones in bold) sawtooth profiles, OOA, panic, poor use of equipment (e.g. inflator), fast ascent, stops omitted.
The main causes for "undeserved hits" were fatigue or lack of fitness and efforts during the dive.
I was disappointed to not find "successive dives" as a main factor for DCS because French National Instructors Medallin and Ricou mentioned in one of their books (a reference book for the French Federation) that "spinal hits represent the majority of neurological hits and often happen after a second dive, itself often close to the NDL". The statistics I found mention successive dives as a factor, only in a very limited set of cases. So it seems to not be a decisive factor from these stats BUT the stats are likely to be wrong on that specific subject (they contradict other reports; they show a weird result, as on-gassing obviously increases with repetitive dives; maybe this item was poorly documented in these stats) + French diving has some particularities (long SI's: 4 hours or more) that I will describe thereafter.
B) Some remarks about statistics and the French dive scene. Statistics describe a given population, and French divers behave differently from typical Caribbean resort divers. French diving is mostly air diving (also for deco) and mild deco diving (less than 15 minutes of total deco time), twice a day (morning and afternoon) with 4 hours or more of surface interval time. It's a long SI, and given that the total intake of Nitrogen after two or three shallow dives can be as much as the total intake during a mild deco dive (though the off-gassing differs) then if successive dives were a factor for DCS with French divers if would be all the more for resort divers diving 4 or 5 times a day with much shorter SI's. But, as I said, these French statistics don't validate this. That subject remains nevertheless open for repetitive dives deep enough and with short SI's, as shown by some British Navy experiments (described in the the PADI Diving Encyclopedia) which proved that "deep enough" dives in a "short enough" row led to DCS.
Another point to consider is that a higher (and unacceptable by most) risk of DCS doesn't mean one will actually be hit. In other words, nature often (not always) forgives big mistakes. There are also huge variations between divers, and between populations. To illustrate what I mean : three different dive tables (French Navy MN90, PADI RDP, French Navy GERS 65) give three VERY different NDL's for 30 meters/100 feet (respectively 10, 20 and 30 minutes) so that's three VERY different amounts of risk, yet all GERS 65 tables users weren't crippled.
Conclusion. Spinal DCS hits nearly 117 divers per year in France (if I extrapolate from the sample) so that's what I call "far from uncommon". On a more anecdotal note, two of my dive buddies (of which there is a fairly limited number, less than 12) have been hit by spinal DCS; one in Egypt and the other in the Maldives; both after several days of 2 to 4 no-deco dives a day (plus they were quite dehydrated).
To the OP I would say that, at least, French statistics confirm that the stops are of paramount importance (all the more at the end of repetitive dives) and should NOT be skipped. They should even be "padded", for example a safety stop should be at least 5 to 10 minutes at 4.5 meters/15 feet, followed by a very slow (3 meters/minute or less) ascent to the surface.
PS: total number of divers treated in French deco chambers per year is greater than 300. 40 to 45% of these are spinal DCS hits, according to Louge et al., Problématique des accidents de décompression médullaires (2010).