Nope.The WSM's are ballistically identical to the original cartridge,in your case the 270 Win.(the 7mm WSM to the 7mm Rem Mag,the 300 WSM to the 300 Win Mag,the 25 WSSM to the 25-06,etc,etc)The whole buzz about the WSM's were that they could be fit into a short action rifle,meaning a shorter,lighter rifle.In your case you didnt gain anything because the Tikka T3 has the same action no matter what action length,just different bolt stops and is a very light rifle to begin with.There are some gains however,there is less felt recoil and less powder to use if you reload.The cons are that there is still not the amount of factory loads available as there is with the original cartridges and the ammo itself is more expensive.Atleast you bought one that wil stick around,unlike the Remington Short Action and Ultra Mags.Good luck with your rifle,you did pick a fine caliber however.