I'll weigh in on the Ruger 10/22. This is not a comparison since I have had no experience with the Remington.
I have a Volquartsen Ruger 10/22 built before Volquartsen switched over to building them on just their own parts. I had decided on the Volquartsen conversion because at the time some of the hook and bullet press were publishing comparison road tests of the different customized 10/22s. In each test the Volquartsen Ruger shot the tightest groups. They also tested and published which target ammunition brands grouped smallest out of each rifle.
I am not a bench rest shooter except for testing. But I do want my .22 rimfire rifles to shoot <MOA at 50 yards. From the first time out, using one of the ammo brands listed in the articles that did shoot <MOA but not as tightly as even more expensive brands of target ammo, this rifle easily grouped <MOA. This was not a fluke but consistently. I never bothered to spend the money on the tightest grouping ammo to find out just how tightly my rifle would/will group because once I had achieved <MOA I had the results I was looking for.
All this happened around 2000 when the Chevy truck Sportsman's Team Competition matches were extremely popular. The customized Ruger 10/22s grew out of the necessity to have <MOA rifles that would shoot fast for the rifle events. Through a lot of testing the gunsmiths determined that the 10/22 was most suitable candidate to customize for these events. Since it was now possible, perhaps for the first time, to buy a <MOA semi-auto .22 rimfire, these 10/22 conversions became, and still are, extremely popular.
My rifle was not cheap, but in my opinion, well worth it. I still read carping about starting with such an inexpensive rifle to modify to <MOA grouping ability was a waste of money. Except at the time this was the only way to get there. An example of racing improves the breed.
To carry the racing analogy a little further, in the mid-late 60s the Trans Am road racing series was extremely popular. The cars used were the pony cars of the era, Mustangs, Camaros, etc. One of the legendary drivers in that series (and others) was Mark Donahue, who died way too soon in a crash. One day when the media were interviewing him one of the reporters asked how these pony cars, which had such humble origins in the Ford Falcon and Chevy Nova, etc, could make such potent race cars.
Donohue paused, then said "You can't make a race horse out of a pig, but you can make a damn fast pig".
The 10/22, in its customized form, is one damn fast pig.
So much so that I will never let mine go.