I used to have a HHFSH, but due to some stressful financial situations a couple of years ago I had to sell it.
Selling my HHFSH was probably the most regretted sale I have made.
The HHFSH was/is AWESOME, but a heavy knife.
I was able to score a regular FSH with regular scales and full-height flat grind recently. Personally, I probably actually prefer my full height flat grind regular FSH due to it's (IMO) improved versatility.
The regular FSH won't be quite as good a chopper, but still VERY good and more potential as a good all-around knife that is much easier to carry with less weight.
While the HHFSH was just freaking awesome to hold in the hand, the regular FSH is almost as awesome, but with a better feel, balance and agility - IMO.
I would have never considered my HHFSH as an all-arounder. To me, the HHFSH is a dedicated chopper and is outclased by the longer and similar weighted FBM (IMO).
I wouldn't have thought I would consider the regular FSH an all-arounder. It is still fairly large. But, the balance and feel puts it in contention with the versatility of my two favorite versatile camp knives: SarSquatch and Camp Tramp. But, the FSH is still significantly larger and whoops both easily for chopping.
I should clarify "all-arounder". I don't personally feel there is such a thing as a one knife does it all. Far and away my most used and most versatile knives have about 4" blades or so. But, that size won't chop and do certain larger tasks.
So, if I "HAD" to be with one knife, I would lean towards a little larger like a Ratmandu, SJTAC, NOe, Skinny Ash, Camp Tramp or SarSquatch (excellent examples and choices of various "Mid"sized knives - IMO).
But, I am really more of a "2" knife guy. So, if I am going to have a 4" blade on me, I might as well have my second knife be good at chopping. But, I don't tend to like carrying overly heavy blades. I consider the FBM and HHFSH fairly heavy to lug around. I would generally say the SarSquatch has been my best balance for my preferences with versatility and weight. But, the regular FSH is a real contender to pair up with a smaller knife even if heavier.
I would say the Chopweiler is a more fair contender to the FSH and I have also always liked my Chopweiler. But, again, the FSH is just a little bigger with just a little bit more chopping power. And in this case, I actually think the FSH is just a little better balanced and nicer feeling in the hand for camp/chore tasks over the Chopweiler.
This balance and versatility makes me lean towards the regular FSH.
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For the record, there have been MANY variations of the Steel Heart over the years and even quite a few variations of the FSH (Fusion Steel Heart).
The regular FSH came in both Saber and Full-Height flat grind - both at .25" thick.
I don't have weights readily available, but the Saber grind should weigh a little more than the full-height flat grind.
Then there are:
HHFSH at .27"
HOGFSH at .312"
(* edit to add): FSH SE 2007 at 0.319"
And
MOASH (Mother of All Steel Hearts) at .345" THICK!!!!

... No doubt the MOASH is awesome, but I imagine it is an awesome "Anchor"! / Sledge! - who needs to "cut" down trees when you can just knock them down.
.