If I remember correctly, the Pari-Motos really are paper thin. Rene Herse tires have a thicker layer of rubber on the tread which makes them last a lot longer and (probably) get fewer flats.
I've had amazing luck with my 700x38 standard casing tires. I've put at least a couple thousand miles on them and not one single flat (yet...) which includes a lot of city riding and broken glass. I also have Rene Herse tires in 700x32 and 26"x52mm with extralight casing. I've had a few flats with those, but not enough to stop me from riding them.
So my point is: I wouldn't count out the Rene Herse tires just because you've had bad luck with the Pari-Motos. But if you really want/need something with a flat protection layer, they're not the tires for you (since they don't offer the Endurance casing in 650bx38mm).