Vic,
Very common problem and the Chinese are the worst for it. They can't design a tailstock to save their lives.
If you look at older UK and American designs that usually have the casting overhanging the cross slide, a bit swan necked. This gives you a start getting to reach the work and hiding more of the barrel.
The modern way is to use a slab fronted casting with stupidly short travels with the result that you run out of travel 8 miles before you get to the job in the chuck.
Don't know the reason other than it may be to do with quoting larger between centres distances ?
If you chop anything off it won't make it better, you will still have the same travels. The distance from ejection to end of travel will always be the same. Altering the barrel won't make any difference. To make a difference you need a longer screw and body to accommodate it.