Exact same spread as in, the guns' statistics? Not true.
RDR is all 'bout headshot accuracy. ... Well, outside of Free Roam where it's nothin' but sniper fights and dynamite. But that's 'cause radar is on, so that ain't worth payin' attention to. Better things t' do in Free Roam than shootin' everyone anyways. Back to my point, I'd regularly beat players who have a Mauser (which is superior to the High Power IMO, minus accuracy) with a bloody Volcanic Pistol (the worst gun in the game IMO) with a timely roll and headshot. Unless they teeter on the edge of the Mauser's range, at which a Volcanic can't headshot accurately at all, they're gonna eat lead 'n fall dead 'fore they hit the ground. In other words, even the best weapons require smarts 'n skill to beat a skilled foe with a worse weapon.
RoF is definitely the most important strength of any gun when headshots don't come into play though, that's true. Semi-Auto Shotgun and Mauser are completely broken in Hardcore mode since ya can't just counter via headshot like with Normal aiming. Factor in Deadeye reloading, and it's not at all fair.
Gettin' a good weapon and havin' a good sum of Deadeye is truly formidable in the hands of a pro, but all it takes is one shot to the head from behind to end a streak. Skill is a lot more important than the weapons themselves. There's a reason I can go 55-4 against fellow legendary five players; and it's not by abusing the better Pistols or Shotguns. :P Hand me my Henry 'n LeMat, and I'll be makin' crazy-long killstreaks all day.
... Talkin' 'bout it now has me wantin' to play some competitive multiplayer. Badly. ;_; T' hell with White 2, I want some RDR...