Well, there's no doubt that the 5HH is the most versatile of the two. But, I like the different flavors of the single H pickup that the selector switch offers - parallel, series with filter, and series. Though, I primarily use the parallel setting on the H that the HH has. There are some that say the H and HH sound different in the same settings, I'm not one of those people - they sound the exact same to me.
Beyond that, in this particular case, if the 5HH would have been lighter than my 5H and/or been the one without a 7th fret dead spot (they both have it), I might've decided to keep it and sell the 5H. If I were in a situation where I could just keep both, I'd like to do that, but I'm not. So, it comes down to picking one, and I'd just prefer to keep my 5H Special. They're both great basses though.
With all that said, there may be trouble in my EBMM paradise. In addition to the good ol' StingRay tone in position 1, I was digging the tone of the 5HH in position 3 - so thick and meaty. But live, a little too thick with it requiring quite a bit of mid boost to get back into where I was wanting my tone (and our FOH guy also commented on how much mids he had to dial back in when I used that bass in position 3). So, I pulled out my Lakland DJ5 that hasn't seen much playing time in several years and took it to a gig...loved it! I forgot how much I like that good ol' jazz bass growl. The DJ5 is VVT, and was so easy to go from snarly to thick to warm, but still cut no matter what I did. Then, I found a NOS Roscoe with jazz pickups in 60s configuration for a great price and scooped it up. I might be selling a few of my SR5s.