Just because the data does not exist doesn't mean its not true.
The heavier a ship is the more force is has to overcome to turn. Take this as the neutral force, the force that resists movement. If the ship is going 10 knots it will have a forward speed and pseudo force which is basically inertia. To turn the ship a force must be applied that overcomes this inertia as well as any and all friction. Not to mention more of a SOL will be underwater than a frigate increasing drag and the amount of water needing to be displaced to move said boat forward.
Basically the bigger it is the slower it will turn or accelerate given the same propulsion method and propulsion force ratio, if the 74 had a modern day side turbine stuck on the side or 10x the amount of sails and a rudder 10x as big i'm sure it would out turn the constitution. Take a destroyer vs a cruiser vs a battleship, you can tell which is the most agile just by looking at their size and knowing their force to mass ratios are roughly the same.
The 74 was mass produced as it was a compromise, a good amount of firepower, a good amount of speed, a balanced cost, less crew than a 1st rate etc etc etc. Why did Germany and Britain build pocket battlecruisers in WW1? To compromise and put big firepower into a more maneuverable and smaller package. Losing a 74 isn't as devastating as losing a 112 but that 74 can sink said 112. You can't look at something and say since they were mass produced they had to be the best at everything, maybe they were good at everything. Take the Russian T-34, was it the best tank in WW2? Did it turn the fastest? Did it hit the hardest? Was it the most armoured? No. Was it the best bang for the buck for the russians? Yes. Hence it was mass produced while Germany pumped out fewer, better tanks, and we know how that went.
TLDR they have the same propulsion ratios and so the forces being scaled up will result in the smaller ships out-turning the large ship. The only argument would be if the small ship was sailed by cats and the large ship by master seamen than maybe it would turn faster ;P