An inacurate gun certainly isn't going to make anybody accurate.
I think I'd rather err on the side of having too much gun for my talents rather than on the side of having an average, so-so, mediocre accuracy gun. Average guns have their uses and I own a bunch, but the OP asked about "most accurate".
The OP comments makes it seem like be has minimal pistol experiance (could be wrong). Spending 2k on a gun capable of firing 1 inch groups at 25 yards and not putting a few thousand rounds through it will not give you the same accuracy as buying a good gun for 600 to 1000$ and spending 600-700$ on ammo/range fees and 300-400 on training. Besides, I haven't shot a handgun that wasn't capable of a 6 inch group at 25 yards (not from a rest), and that is beyond the ability of most shooters. Maybe you guys hang out at bullseye meets every time your at the range but in the 8 years I have been shooting pistols and thousands of people I have seen shoot, most never shoot anywhere near 6 inch groups at 25 yards.
I spend a fair time shooting and I can say I have outshot everyone (other then 4 people) out of the hundreds of people I have been around at the range in the last few years. This is with a czspo1 in 9mm and 22, a 44mag taurus cheap revolver, and my glock 17. None of those guns can shoot in the ball park of many of the 2,000+ 1911s I have seen guys use. I don't bet money but I would bet 100$ I will outshoot 9 out of the next 10 guys I run into at the range, that have 2,000$ + guns. I am not trying to be cocky here, and I am not anywhere near a elite shooter. Most people do not posses the pratice or training to be accurate enough to claim they need a custom gun.
To much emphasis is put onto the gun being the controlling factor in accuracy. That's why companies put "match grade" and all sorts of other names to make their gun seem better then the competition. None of it matters after a certain point. Just like I shoot my buddies cheap Remington 710 and routinely outshoot most people with much better rifles at 100 yards. I can shoot my wasr10 at 25 yards and outshoot your average person with a scoped 22. Again I am not bragging, but your average (more like 90%) of people could benefit more from good training and 1000$ in ammo down range then a 2,000$ gun.
A wood worker with a 3,000$ cabinet saw, and 6k in other tools won't make much better of cabinets or furniture then with 1k in total tools if they don't get educated in what they are doing. I have made nicer furniture with completely cheap tools then guys did with 40k in tools. Not that I am a cheap skate, I own a lot of nice stuff now. By focusing on skill and practice you can get the best out of anything. No practice means no skill, and no skill negates the capability of the tools one owns.
I don't care how accurate a company claims its guns are, if flinching, inconsistent grip, arc of movement, improper sight alignment, etc aren't controlled, the gun will never be accurate. It's more impressive to see tight groups at 25 and 50 yards from a guy with a 100$ gun then a guy who can't shoot 6 inch groups at 15 yards with a 2,000$ gun. I see more of this then the opposite 10 to 1.