I was surprised to see that someone from Bicycle Research started making them again after a forty-year hiatus!!!!

With the improvement and selection of super quality clincher tires, I would never, ever, choose to ride tubeless again

they are still made and used mostly by pro racers who have support, too much trouble if you flat. Tubeless is relatively new. They are a clincher tire with no inner tube just like a car tubeless tire. It is usually recommended to run a sealant in the tires. The alleged advantages are less weight, lower rolling resistance and able to use lower pressure.

These Maxxis tires went up in my opinion after several rides. I have 100 miles on them and they are performing very well, in the wet as well as dry.

This is good piece on the virtues of tube tires, tubular and tubeless.
http://www.ilovebicycling.com/clinchers-vs-tubulars-vs-tubeless-tires/

I know absolutely NOTHING about about tubeless systems, although I've been looking at the possibility of running Stan's NoTubes Tire Sealant in a conventional inner tube. Ever hear of anyone doing that?

It seems to me that running Stan's sealant should help. On the tubeless tires I have read wear riders unmounting tires have seen little blobs where the sealant sealed punctures they never knew they had. Tubeless for road are fairly recent. The MTB people have been running them for years. It's taken the tire people a while to work out the higher pressures of road tires. Tubeless ready tires tend to have a higher tpi (threads per inch) then tube tires.

The wheels I use are already tubeless ready. There are no holes for the spokes. In fact I never used rim tape with tube tires on them. I did change out the stock tubeless valve stems for Stan's because the Shimanos don't let you remove the valve core. It is much easier to inject the sealant in a valveless core. Otherwise you have to squirt it in the tire before seating the bead.

That was my inspiration to give Stan's a shot.