Hey pandaperth, when I originally posted this question I was in a bit of panic and looked to anyone who would give me a straight answer. I apologize for not responding to your answer. But AA RTW desk permitted me to change my routing from JNB to DOH-OSL to JNB-LHR-OSL. A bit of a sting on BA surcharges, but change fee was waived, so I am in Oslo as I write this, having just completed my first RTW. Now my attention has turned to RTW #2 which I booked two days before our dear leader (I am US based) decided to attack Iran. I have several DOH transits starting June 1 and I am not sure what my options are with Qatar flights currently not being operated to OSL, though my DOH-DUB-DOH flights do appear to be operating. I do not have any spare segments to play with so any routing from OSL will add an additional segment to get me back on track if I route through MAD or HEL, or even the dreaded LHR. Unable to contact AA RTW desk yet and AA chat was pointless.

My current itinerary starting June 1 is:
OSL-xDOH-DUB-xDOH-DFW-SFO-ANC-SFO-JFK-DFW-SYD-HKG-NRT-KUL-BKK-DOH-OSL

Any thoughts?

My immediate thought is simply move the DOH-DUB-DOH segments to the end of the itinerary
and change the start to be:
OSL-HEL/MAD/LHR-DFW
(according to FlightConnections, AY flies HEL-DFW and AA flies MAD-DFW)

Flights within NA
 

Recognising only one transcontinental flight across the USA is permitted, is .....DOH-LAX, LAX-JFK, JFK-HND .... valid ?

Yes

The actual rule for North America transcon flights is:
Since neither DOH or HND is in any of those states (last I checked anyway - it's a strange world these days... :D) they aren't limited by the transcon flight rule.

And it bugs me that a flight from MEM to LAS is considered "transcontinental"!

Since column A and column B list only states, US states, why is there a reference to Canada in this rule?

I suspect it's probably there for historical reasons, back when oneworld still had a Canadian carrier! Pretty sure I've seen an older version of the rule that had Canadian locations in the list.

More recently CX flew JFK-YVR-HKG, in 2013 I flew the JFK-YVR segment.

Although I never had occasion to fly it, I distinctly remember that route. It was popular because you could fly in the [then industry leading] CX F cabin for comparatively little and without leaving North America.

I could be wrong but I think JFK<->MEX might be one of the longer non excluded routes. It’s also a pretty expensive route if you’re not on an rtw ticket.

It used to be handy under the old BA FF scheme as at just over 2000 miles it qualified for long-haul tier points. The downside was that AA uses a short-haul bird so it's not a very comfortable flight.

Of course it was the only one not featuring caviar service, but always worth the extra 210 points

I flew that route on explorer fare twice, back when it didn't compare unfavorably for crediting to AA. As I recal it was a lot of dark, but very nice.

It used to cover the Cathay Pacific JFK-YVR and vv sectors.