Not necessarily. In very short barrels, the 22 mag has only 4-12 fps greater velocity than the 22lr from the same barrel, at twice the cost and muzzle blast.
Care to provide a source for that claim? The links I posted above disagree with that. Granted, they are from the company's site, so they should be taken with a grain of salt. On their board, the user cjw
posts some numbers that support theirs.
If you use the NAA information for all the 40 gr rounds out of a 1 1/8" barrel, they list the mean .22 LR velocities at 8 feet as: 586, 624, 681, 712, 725, 679, 715, 727, 677, 685, 718, and 653. For .22 WMR in 40 gr, again at 8 feet, they list 788, 811, 802, 879, and 878.
If you take the fastest LR (727) vs the slowest WMR (788), you still have a 61 fps difference. If you average the velocities (LR = 682, WMR = 832) you get a difference of 150 fps.
From the 1 5/8" barrel, the average difference grows to 181 fps using 40 gr ammo. The 4" barrel, which the original poster is asking about has the average velocity of 874 for LR and 1026 for WMR.
So what does this mean as far as energy?
From the 1 1/8" barrel, the average .22 LR delivers 41.3 ft/lbs at 8 feet. The .22 Mag steps that up to 61.5 ft/lbs.
From the 1 5/8" barrel, the .22 LR produces 41.8 ft/lbs, while the .22 mag weighs in at 66.8 ft/lbs.
From the 4" barrel, the LR has 67.8 ft/lbs and the mag is up to 93.5 ft/lbs.
It appears there is a substantial difference between .22 LR and .22 Mag (WMR), even out of barrels as short as 1 1/8".