I agree with some of the other posters. I loaded "managed recoil" loads for the 30-06 for my sons and the recoil is more like a 243. Plus you do not have to buy another gun when he gets older.
Keep the 270 and buy managed recoil loads. They are good on deer to 200yds and are advertised to give the same POI of regular loads.
As was also mentioned, the importance of the scare factor. Give them a good recoil pad, managed recoil loads, and good hearing protection and they will start off enjoying the 270, instead of fearing it.