It's not nearly that big of a difference in recharge. With both having a purple set and Agility Core Paragon Alpha, Inferno has a 32.76 second recharge with 225 global recharge and Blizzard has 38.52 second recharge with 223 global recharge.
As for damage, if the in game info is correct, Inferno does 166.83 damage instantly and an additional 112.59 over 8.6 seconds for 279.42 total. Blizzard does 282.72 over 15 seconds. On pure base damage, Inferno is much better. What advantage Blizzard does have, is that each tick gets to check for Scourge, rather than just the initial cast, and DoTs don't scourge. Nukes generally aren't going to be used at times when enemies are low enough for Scourge to trigger and Blizzard, according to its info, hits harder when it Scourges (2 1.86 ticks normally, with scourge giving a bonus 4.45 tick), which can result in it doing significantly more damage than Inferno over the course of a fight. Blizzard also activates a second quicker, which makes it stronger against tough single targets as well. Besides damage, Blizzard gives a 20 second 35% to hit debuff.
Both have their advantages and disadvantages, and which is better will depend on the situation.