I would make one argument.
IF, you are going to only own ONE rifle, the .308 isn't bad but I was watching a vid on how to choose a cartridge for elk hunting and the guy said (I paraphrase) "there is nothing wrong with .308 Win, however... 30-06 though it's an old cartridge, has killed something that walks or crawls on EVERY continent on this Earth".
If you are only ever going to own ONE rifle in ONE caliber I'd argue get the 30-06. It doesn't kick as bad ass the entry level Magnum rounds (.300 WinMag) but naturally isn't as soft as a .308 in comparison. You can take everything from small game like coyotes at range, to black/white tail deer, mule deer, mountain goats, elk, caribou, reindeer at significant ranges. I'm not sure on this as I haven't tested it myself or read into it much but when I got my screw on dial system for my Leupold VX-2 one of the questions was "how far out do you want to shoot?" and I basically asked "what's the 30-06's max range for lethality" and the response was essentially, shot placement is what matters but generally much past 600 yards the only people getting killshots are Marine Scout Snipers and Navy SEAL snipers and their European counterparts.
The guy I was speaking to said you could legally and ethically hunt ALL the antlered animals in the world (from pronghorn on up to moose) depending on range and if you were a damn good shot you could take it bear hunting though most bear hunters and dangerous game/safari hunters use the big .475 H&H style rounds for the extra mass of the projectile.
Another slight anecdotal story. When I picked up my Weatherby in 30-06 I went to the store I USUALLY go to for my AR stuff. Guy opens the box to get the serial number and he's MAYBE 30 at most and lost his leg below the knee (right leg) while he was serving in the Big Red 1 in Iraq or Afghanistan. He whistles and goes "30-06, so nice to see someone under the age of 50 buying a gun in this caliber". Naturally I ask him why he says this and basically he was like "Everyone is all about that 7.62x51 or .308 Winchester because the tacticool crowd is all hung up on it with the M1A and AR-10. 30-06 is a better all around round IMO. It shoots flatter, shoots longer with lethal capability. .308 is a flavor of the month thing and the ammunition retailers know this so they have pushed it a ton and kept the price lower than it's century old cousin that is the father of all 30 calibers that stemmed from the grandfather round that was .300 Savage".
I was pretty well stunned, then I asked a ton of other friends that served from Marines, to Navy, to even Chair Force guys and they all said the same thing. NONE of them really hate the .308 but they would all prefer the 30-06 and my former coworker at a bar I bounced at summed it up great and simple like a typical Marine. "Greg, I was MARSOC, we had to haul EVERYTHING in we wanted to use and haul it all back out. .308 is fine.... except it has ALL the weight and size limitations in your bag that the 30-06 has with less range... it's not worth it in a combat situation. You want a round that you can kill any animal smaller than a rhino, hippo, or elephant and you want 100 years worth of man killing capabilities to back it up... get 30-06"