Well there's no reason IMHO, that you can't or shouldn't cut back the barrel on that 30-06 if you really want to.
Just be aware of the reasons you should look at for not doing so.
Reduced, velocities, if that's a consideration for you. Increased muzzle flash and perceived felt recoil, if that bothers you.
I've cut back a few 30-06 barrels for folks that were dedicated "stalk" hunters. All were satisfied with the results.
Accuracy wasn't effected in any of the rifles and may have improved on at least one.
Depending on the twist rate of your barrel, all of the people who had the job done, found that their rifles shot "heavier" bullet weights better, with reduced powder charges from what they would normally load to.
I would say the reason behind this was decreased muzzle blast/flash and less perceived recoil.
The rifles were definitely much easier to handle, but other than that, the few ounces of weight saved weren't noticeable, other than the rifle balanced between their hands, rather than being front heavy.
All of the folks who had these rifles were avid hand loaders and all of them opted for powders which were "bulky" over the powders they had been using previously. None of them were concerned about accuracy beyond 100 yds, as their shots on game were usually well under that distance.
A couple of them were 65+, and had been out of the hiking around "clear cuts" etc, for quite a while, but didn't want to change the rifles they had or were used to, for another rifle. They didn't want to go through the effort of selling/trading, rebarreling to a different cartridge, such as the 308Win or ###ier 6.5 offerings.
OP, I won't tell you not to do this to your rifle, it definitely has several very positive elements.
Just be aware, if you don't handload, you may find your rifle is no longer as easy to shoot consistently well, with factory offerings, and the muzzle blast will become a beast unto itself.