Keep in mind that not all 115's are created equal....
Heck, even within the Evinrude ETEC line they offer a base 115 ETEC, and a HO 115 ETEC that adds variable exhaust valve and a different/better intake system...they brag the HO version is simply faster. One would think 115 is 115...but clearly it's not...even within the same brand and model year.
And you're comparing 2 different brands, and 2 stroke vs 4 stroke...very different.
I'm not sure if Yamaha 115's are stronger than Evinrude 115's...but that alone could make all the difference in the world...he may simply have more power than you do. The prop exchange will be interesting...and fun! Report your results!
As for throttle position, I urge extreme caution messing with an ETEC on your own. As an owner of a late-model fuel injected Ski-doo snowmobile (same company and technology) that I actively performance-modify, I can attest that sometimes throttle plates in the TB do NOT necessarily open all the way at WOT throttle setting...believe it or not...and overriding it manually to open the plates flat with a linkage adjustment will throw TPS and other sensors off, and will thereby confuse the computer's fuel delivery...it might not even run when you're done. So even if you find your throttle is not fully opening, DON'T TOUCH! Ask a dealer....or proceed with adjustment at your own VERY HIGH risk....
Your dealer will need to use his Evinrude Diagnostic system on a laptop to verify TPS settings, etc...and there is no way for you to do this by yourself at home...and attempting could cause damage. Unless you buy the diagnostic programs. A few aftermarket companies are starting to come out with this stuff for the home user and independent mechanic:
http://www.brpdiagnostics.com/evinrudediagnostics/ But for the most part, you will be a slave to the Evinrude dealer to diagnose most anything on those machines....