Good Question
First, I use GDHP short barrel in .38sp, .357 mag, and .45ACP.
It is designed with a deeper than normal HP cavity that will expand more easily at lower velocity, and this appears to be born out by tests. So, I would guess that out of a 4" barrel it will expand sooner than normal HP ammo. This does not make it a bad choice for a 4" barrel, but I guess if you want better penetration then maybe normal HP would be a better choice.
Having said that, I admit this is speculation on my part. I would like to see test results from a 4" barrel.