Do the comparison with rifle caliber levers, out to rifle caliber ranges, with a reload in the mix.
Or, how about we turn that around? Do it with pistol caliber rounds at say 75-100yds? oh, wait, there are damn few pistol caliber bolt action carbines....
Wonder why that is...? There seem to be plenty of lever action ones...
For a century or so the accepted wisdom has been that as far as speed of aimed shots, its semi, pump, lever, then bolt, with the single shot lagging more than a bit behind.
However, the difference isn't as much as most think, when the shooter is well skilled with the gun. Generally, about 1 second slower for each action type. Not a hard and fast rule, by any means, but with equally skilled shooters, firing rifles of approximately equal weight and recoil that's what usually happens.
Now, for 5 shots, I'm confidant I'll smoke you like a cheap cigar if I'm shooting a Marlin .357 and you are shooting a 1903 Springfield. And the guy with the AR .223 will likely smoke me. So what?
Each class of rifle is built for a different use. I'll bet you'll get a better time through the streets of Monaco with your Porsche than I will with a Ford 3/4 ton pickup. But you won't be able to haul half a cord of wood in your Porsche...
The reason there are very few bolt action pistol caliber carbines is there isn't a market. Levers or semis just do it better, within the limitations of the caliber. Levers also have the nostalgia factor in their favor. Outside of the Rugers, there are no bolt guns with actions optimised for pistol length rounds.
And I got the impression from the OP that is what he was talking about, pistol caliber carbines.
I own a number of Rem 600 carbines, in calibers from .222 to .359 Mag. Fine little rifles. Also have Marlins in .357, .30-30, and .45-70. Also fine rifles. Each one does something better than the others. If you want the max ballistic performance from a carbine length gun, go with a bolt. If your needs can be well met with something less than the most powerful round in each class, a lever gun might just be the thing. And there are lever guns that will shoot the same rounds as bolts can. They just aren't usually done in carbine form, because by going shorty, you lose some of the performance.
Compare apples to apples (if you can find them), and brag on what you can do. But don't compare apples to watermelons, and brag one is better than the other, because you like the taste better.
Its all a matter of what floats your boat. Fortunatley, there's enough "water" for all of us.