Extremely hard to imagine the Cheddites are more powerful than a CCI209M or FED209A. Toby Bridges did a test using all of them in a 32cal shooting a PRB with only the primer. The Cheddites were about the same as the Win209s
http://www.namlhunt.com/mlprimers.html
GM I need to agree with you your thoughts, not necessarily Toby's. The military purchases the 209A because it is the strongest 209 primer on the market.
When you dig into the Cheddite primer specs you will see that it was built to mimic the Winchester W209 and is recommended to Trap shooters as a direct replacement. It does produce slightly more pressure than a W209. I use it extensively for trap shooting and it is nowhere near the power of the 209A or the CCI-209M which is rated slightly below the 209A
This table was published a few years back and I believe it is more reflective of the actual pressure created by various primers
Shotgun Primers
Winchester 209ML ........................221 f.p.s.
Winchester 209 Triple Seven ML......244 f.p.s.
Remington 209 Kleanbore ML .........318 f.p.s.
Std. Winchester No. W209A ...........336 f.p.s.
Remington STS.............................338 f.p.s.
Std. Remington No. 209 ................341 f.p.s.
Cheddite No. 209 .........................347 f.p.s.
CCI 209M.....................................379 f.p.s.
Federal No. 209A ..........................381 f.p.s.
Rifle/Pistol Primers
Winchester WSP "Small Pistol" ….......116 f.p.s.
Winchester WSR "Small Rifle" ..........143 f.p.s