Which does your grandpa favor?
Accuracy will be a function of the rifle, the load and the nut pulling the trigger. I DO NOT subscribe to "an inherently accurate" cartridge. One is as mechanically accurate as the other. After the mechanics and the quality of the rifle and ammo, the difference becomes the shooter.
The 6.5 Creedmoor is a fine cartridge, of that there is no doubt. However, it's no better than several European 6.5 cartridges that came out before 1900. The Creedmoor benefitted greatly from a lot of R&D and superb marketing that quite frankly simply wasn't available 125-135 years ago. In a modern rifle at modern pressures the Creedmoor isn't quite as good as the 6.5 Swede, it won't touch the 6.5 X 57, 6.5 X 68 and a half dozen other much earlier 6.5's. From American makers, the 264 Win. Mag. leaves the Creedmoor in its dust....as well as a lot of other 6.5's.
The 270 was introduced in 1925 in the Model 54 Winchester. Rosso is close when he says the 270 was developed from the famous 30-06 but not quite...and it's sort of picking nits. The 270 was actually the 30-03 necked down. The ONLY difference is the 30-03 had an ever so slightly longer neck than the '06, which accounts for the slightly longer neck of the 270. For all intents and purposes, it doesn't matter.
As I understand it, the 6.5 CM is based on the 308 case. That case is 51mm in length. The 270 is 64mm in length. That's a 13mm difference, so close to 1/2 inch in SAE sizes as to be inarguable. Now, you cannot have 1/2 inch more powder capacity in a cartridge case in a cartridge a mere 0.013 larger in groove diameter and having a 2,000 to 3,000 PSI HIGHER operating pressure, (accoding to SAAMI and CIP, respectively), and it NOT outperform a smaller case operating at a lower pressure. Yes, the neck length of the CM and the 270 precludes an actual 1/2 in. more capacity but, it's close enough for conversation. I've been doing this so long I didn't need Hornady to tell me the 270 had more energy beyond 300 yards than the Creedmoor, and that with essentially the same weight bullet in which the 6.5 will have a higher sectional density and, for a while, a higher ballistics coefficient. Put a 150, 160 or 170 gr. bullet in the 270 and the difference becomes even greater.
To re-cap, the 6.5 Creedmoor is a fine cartridge but, it isn't the 270. Guess what, the 270 isn't a 300 Win. Mag. There is no substitute for case capacity when operating pressures are, for all intents and purposes, identical. Mathematical games can be played and bullet weights toyed with but, ballistics are ballistics, they don't change. You can't make a 243 a 30-06 or a 6.5 a 270. All four will kill a deer graveyard dead and none is any "better" than the other. They do excel in different areas of ballistics but, beyond that, it is and always will be a matter of taste and a POPULARITY contest. Make your choice and go forth happily killing deer, or whatever, and don't concern yourself with what others prefer from their experience and THEIR taste. So what if someone "likes he 270 better", it's their money, taste and experience.
Those are the facts and they'll stand on their own.
I'm not anti-6.5. I own two, a 1903 Mannlicher/Schoenauer from the 1920's in 6.5 X 54 M/S and a mid-60's Husqvarna on a Mauser 98 in 6.5 Swede. I have a fondness for both.
Now, preferences and tastes are different. As a former employer of mine used to say, "it's a matter of taste and, there's no accounting for taste."