The article you linked implies that Britain constructed them in response too instead of already having in quantity.
"Early in 1812, war with the United States seemed inevitable. To cope with the heavy American 24-pounder frigates of the Constitution-type, the Admiralty decided to build a batch of new 24-pounder frigates. During the long war with France, the standard British frigate was of about 1000 tons and armed with a main battery of only 18-pounders, no match for the big US ships. The only proven design for a suitable 24-pounder frigate was that of Endymion, and in May 1812 two ships were ordered from Wigram, Wells & Green of Blackwall Yard, who were to construct all five ships eventually built. They differed from the prototype by being constructed of "fir" (actually, pitch pine) rather than oak, and mounted an extra (fourteenth) pair of 24-pounder guns on the upper deck forward. All would be reclassified as 50-gun fourth-rate frigates in February 1817; however, the use of softwood in their construction was such that they were only intended for a short lifetime, and indeed all five were taken to pieces after a few years' service."
Endymion - Displacement ~1200 tonnes
Constitution Displacement ~2200 tonnes
These British frigates were constructed from fir (pitch pine), all the Constitution type ships were made from live oak. The limit of compression perpendicular to the grain of the wood fiber( a cannonball impacting the hull for example)for live oak wood is 2840 pounds per square inch, for pitch pine it is 820 pounds per square inch. It takes a little over 3 times the pressure to cause the equivalent sized live oak planking to buckle and fail then pitch pine.
The only thing these British ships had close to competing against these American Heavy Frigates was the armament. Even then the Constitution had 30 x 24lber long Cannons, 20 x 32lber Carronades, 2 x 24lber bow chasers, where as the British rehased version of the Endymion had 28 x 24lber Cannons(not long), 20 x 32lber Carronades, 2 x 9lber bow chasers.
Based on this information I am lead to conclude that the British Endymion when compared to the Constitution is only similar in the weight of shot carried on the main armament. She's out of her league to even be considered similar to the Constitution.
