Most of my bolt actions are 8 to 8.5 lbs. My 270 is a Zastava Mauser in walnut with a 24 inch bbl and 4-12x scope. Right on 8.5lbs.
Even covering 15km in a morning, doesn't seem that heavy to me.
It's what you're used to I guess.
As to the 6.5x55 vs the 270 Win, I see them like brothers where the younger brother just grew a bit stronger and bigger. The 7mm Rem Mag bears the same relationship, a bigger brother again.
Seems the 270 straddles the middle ground nicely.