Thanks for posting that. I have no explanation for why an optional safety stop would be "required" and don't ever recall seeing that the last time I used tables. That much being said, I'm going to go out on a limb and say that the "required safety stop" as presented in the tables is still optional, and don't believe everything you read even if it's printed on a PADI dive table.
I think PADI changed the rules to be more conservative. The physics haven't changed of course.
Those grey zones on your RDP are recommended Safety Stops, not required Safety Stops. A Safety Stop is never required when using the RDP - only Emergency Deco stops are required, if you ever exceed your NDL.
You're both right. Unfortunately, most OW training is designed to give new divers simple rules to follow so they have some framework through which to plan their dives. When it comes to "recommended" or "required" safety stops, what we really want to know is "what are the consequences if we skip it?"
Because the fact is that nothing in diving is "required", and anything anyone claims is "required' is really just "recommended" by someone. Which means it's just someone's opinion, which might or might not be based on relevant experience. Some people will claim a drysuit is "required" to go ice diving... but there's nothing physically stopping someone from gearing up and jumping into freezing water in their swimtrunks. (Okay, the absence of a willing buddy might be a problem...)
I looked up the meaning of the "required" statement on the PADI RDP a while ago, so I could give my students full disclosure. On the RDP, the white boxes are those for which making a safety stop vs skipping the safety stop made absolutely no statistical difference in the incidence of DCS. So why do a safety stop on these dives? Well, ummm... uhhh... because it's a good habit! is what most divers are told.
The grey boxes... for dives close to the NDL or deeper than 100 feet... were those for which a small statistical difference was found in the incidence of DCS. So PADI states that for these a safety stop is "required". But what if it's skipped? I'd be willing to bet the statistical difference is too small to cause concern, but just large enough to be measurable. Which means even skipping a "required" safety stop (as the OP admits to) for a recreational dive will very rarely cause DCS complications.
Ironically, it seems most new divers remember the "safety stop rule": ALWAYS MAKE A SAFETY STOP (so you won't get DCS)!! And yet, many of them seem to be unaware that ascent rates pose a much greater DCS risk than a missed safety stop. It would seem new OW divers would be better served if the importance of a slow ascent rate was stressed more than the "requirement" of a safety stop.