Yeah sure, Shakib averages 122 balls an inning away from home, Bashir does 150 balls an innings away from home, Leach did 157 an innings, I'm sure his workload would be reduced. He won't get any dibs on the tail enders, as the pacers would target them and on top, the actual issue of you know, having to bowl consistently at roads or seamy roads at home with nothing for spinners as we see with Jadeja.
Anderson played 36% of his games against the strongest bowling units, Australia and South Africa, Shakib had to do that for less than 10, guess that hits batting average too. 20+ Tests in Australia where he'd be lucky to even average 40 too, probably 45-50.
So No, won't have a better career with England, Stop deluding yourself.