LudicrousSpeedGo, did you actually read the link in the post you quoted?
We know the rated shaft horsepower of Enterprise's propulsion systems. Using nuclear reactors to generate the steam that powers the ship's turbines, instead of using oil-fired boilers, isn't going to change the ship's top speed. Because it's still the same amount of horsepower.
To get a faster ship, you need more horsepower, or a better hullform. CVNs don't have significantly better hullforms than, say, the Iowas. And they don't have vastly more horsepower. So there's no plausible way for them to be much faster at top speed than high-end World War Two ships.
Just getting the steam for your turbines from nuclear reactors doesn't automatically turn Enterprise into Maury.
Now, another essay on Navweaps provides a possible explanation for some of the "no shit" stories about the nuclear carriers being greatly faster than conventional-fueled ships. Because they use nuclear power, the CVNs can go to "full steam ahead" much faster than a conventional ship, which has to carefully nurse its boilers up to full activity. Therefore, if everyone's just cruising along slowly, and suddenly there's an order to go to maximum speed, the CVN can go from a leisurely 15 knots up to, say, 30 knots almost immediately. The escorts take longer. Therefore, the CVN gains distance on the escorts, which find themselves chasing the CVN. But since the CVN and the escorts have equal top speeds, give or take, the escorts are then unable to catch up to the CVN unless the CVN reduces speed.
Now, hand that over to sailors. Pick the dumbest sailor on the boat, the one who doesn't know the difference between "speed" and "acceleration." From their point of view "Wow, the carrier just outran us BAM like that! We didn't even catch up until the carrier slowed back down! And our ship makes 33 knots! The carrier must have been going FORTY-three knots or something!"
When in fact, when the CVN passed the destroyer, it was going thirty knots to the destroyer's twenty... but the destroyer needed ten minutes to get from 20 to 30 knots, by which time the carrier had gained considerable distance outrunning the escort.