Early SST's were different than the ones being made at this time.
Two friends went to Africa for the 6 plains game including Eland and Kudu with custom loaded 7 STW with 162g SST at a MV of 3150. All Six of each of their game animals died in their tracks...in their tracks! They took their Taxidermist with them with a 338 WM loaded with 250g partitions, they did some tracking.
I have killed three bucks only with the 154g SST out of my 7 Mag with a MV of 3150 under an old farm place with half a dozen trees the bucks were feeding under....325-350 yards. All shots were behind the shoulder lung shots. One buck flopped on the spot, one ran 10 yards, and the other jumped straight up like a bottle rocket, came down antlers first with them sticking in the dirt!
We have killed a lot of deer and hogs with the 139g Hornady Flat base with the 7/08 and 7 mags, and the old 162g BTSP is a shore nuff elk bullet, so is the 154g Hornady Sp.
If you are a shoulder shooter, then I would opt for the heavy for caliber SST, you will be fine. I shot some deer with the 270 Win using 130g SST with a couple of different loads. I aimed well behind the shoulder, probably 8" and the damage was massive taking out heart and lungs from the hydrostatic shock. I would not want to use this bullet on shoulder shots.
We get to hunt during the Rut, so shots can come from any angle as they are chasing does, and I do like to rattle and grunt in bucks. They come in jacked up and you take what ever shot you are presented with. The bullet is the cheapest part of the hunt.
In my 7 mag, I have a FAST load with R#25 with a Winchester mag primer with the 150-154g bullets having an extreme spread of 9 fps at 3250 fps, grouping clover leafs from several factory rifles. I shot a doe around 150 yards, about a foot behind the shoulder and it blew a 5" hole out the off side. I use Gentry muzzle breaks and I saw what looked like he whole gut sack blown out the off side at the shot...it was impressive to say the least. I aim for the diaphragm with these fast 154's, and I like using them in the evening hunts were I do not want to chase a running dead deer....special purpose load set up for one rifle. More often than not, a lung shot is a running shot. This load in my Rem 700 and Browning A bolt 7 mags has put a STOP to lung shot deer.