I found my Airhawk small cruiser pad I used to use for work a few days ago. It transformed the Tenere for me - I don't get along too well with scalloped seats (might be something to do with Hugh Jarse syndrome ...). As far as I'm concerned problem solved.
The only issue is that when an Airhawk gets punctured the standard seat seems b..... terrible. And hurts. Bad monkey butt again

Always carry a repair kit imo.