Well, just looking at those 4 dates mentioned, all of them DID have an EF3 or higher. 4/14/12 had 5 EF3s and 1 EF4 (yes, I know "violent" was being used in a different context for that D2 outlook, but I'm including it anyways). 4/24/10 had 3 EF3s and 2 EF4s, as did 3/01/07. 4/07/06 had 2 EF3s. My source is Wikipedia lol but it's not bad for information on tornado outbreaks.
Also, about this, I believe you are correct about "intense" referring to EF3+ tornadoes. As for the hatched area thing, you are also correct, in that the hatched area represents a 10% or greater chance of an EF2-EF5 tornado. Anything EF2+ would verify their outlook from a probability standpoint. Usually, what differentiates their use of "strong" vs. "intense" vs. "violent" when it comes to their actual technical discussion is based on what the forecaster views the potential severity/ceiling of the event as. A setup that could conditionally produce sigtors will look different from a setup that screams more specifically higher-end tornado potential, but the probabilistic graphics don't communicate that, so you might see a different choice of words in the discussion to indicate that thinking from a human forecaster's perspective. Mesoscale accidents can happen that could produce an EF4+ on a "lower-end" (kind of an oxymoron) significant tornado day, but in general, you could probably tell a setup that could produce a couple EF2s from one that could produce several EF3-EF4+ tornadoes.
All of this has little to do with tomorrow from an actual meteorological analysis, but I hope this answers your questions