But, my three (very expensive) AirPort Extremes do not offer WPA3 or WPA2/WPA3 Transitional.
That might be because your AirPort Extremes were designed in the 2012-2013 timeframe using technologies that were available at the time......long before WPA3 or WPA2/WPA3 Transitional even existed.
Your next question might be why Apple has not issued updates to bring the AirPorts up to current standards. The answer for that is really the same as before........newer technologies require newer hardware . Apple never changed or updated the hardware on the AirPort routers once they were introduced.
Is Apple telling me to buy three of the Linksys Velop AX4200 WiFi 6 Mesh System (3-Pack) that it sells in packages of 3 for $499.95?
Possibly, if you want to keep up with current standards, but keep in mind that while Apple would be happy to sell the products to you, Apple offers no support for them.......(if you check the fine print in the product literature on the Apple site.) Here it is, in case you missed it:
Note: Products sold through this website that do not bear the Apple brand name are serviced and supported exclusively by their manufacturers in accordance with terms and conditions packaged with the products. Apple’s Limited Warranty does not apply to products that are not Apple branded, even if packaged or sold with Apple products. Please contact the manufacturer directly for technical support and customer service.
So, unless you really want to buy from Apple, there is really no reason to do so if they are going to refer you over to Linksys for any questions, service, or support.