Hello Mike and welcome from Virginia. I have a 2014 Touring and have not ever seen or felt this vibration you mention. My bike has 82K miles now so I will say it is broke in now. There is a different in the two engines; 1. the tune is set for more torque down low in the R3T and more HP up high for the R3R. The cam is a different part number as well. other than this, the engines are the same. And I have no idea about the vibration being normal, I say it is not.
I'll take some pics and post them. Not my 1st triumph, I had a Tiger 800 for a couple of years. That was also a great bike. And I have a 1980's KLR650 that they will probably bury me with. I am loving this Rocket though so maybe they can chuck that in too.