This kind of commentary is very ably satirized by Anderson's response in The Empty Hearse, so I'll forebear further comment.
It's a common complaint by inattentive readers, that this or that screen representation of Holmes omits this "puzzle" element. Reading the original tales, though, is more like watching a magic show full of misdirection. The very first episode telegraphs the show's understanding of Doyle, and playfully tweaks his nose: "No, she was leaving an angry note in German." The reader will recognise the reference if they care about that sort of thing.
Holmes is the thinking man as hero, and habitually Doyle pulls some rabbit out of a hat that the reader could not possibly have known from the writing. They're really not the crossword puzzle mysteries of popular misconception. This is one thing Moffat and Gatiss get right.
For the record, I think the first episode is one of the finest pieces of TV ever filmed in terms of a mission statement for the show, and stuff like the rache line is a large part of why. There's only really one scene I don't really feel that first episode lands and it's Holmes & Watson's exchange in the restaurant before they chase the cab; weirdly, this bit was stronger in the unaired pilot (which can be found on the DVD!), but hey ho. I fundamentally disagree about (most, but not all) of the Doyle stories; they're layered, complex works and the stuff that isn't plainly telegraphed is apparent in a clever
ohhh way on a subsequent reread, but I digress - we obviously won't agree on this.
See, this is the thing - my opinion is more that the show just meanders off away from this too much, too far, it morphs into a bit of a caricature of the mission set out in the first series and strengthened in the second, best exemplified in some of the worst excess of Series 3 and 4. The "puzzle" element is a symptom of a greater problem, basically, which is to say: when the show was stronger, and tighter (in the first two series') the puzzle element isn't keenly missed. Later, it is.
This bears out for certain episodes in the later series' too - The Lying Detective is a really great stand-alone story that bears many of the hallmarks of the series at its best. And the show still has wonderful character work - The Sign of Three in particular is choc-full of wonderful character stuff delivered brilliantly.
As for Jekyll, look - I love aspects of that show and I've probably watched it twenty or thirty times, but no amount of suggestion that I'm simply inattentive or not clever enough is going to convince me that the direction that show goes in is properly telegraphed or, well, good. It's downhill for me once Paterson Joseph's delicious scenery-chewing antagonist bites, it basically. It's proto-Sherlock, though, and that goes for both the good and the bad.
To come back to your original point, by the way... you mentioned series 6 of Doctor Who, and here's what I'd say about that - it's not bad... it's just a bit of a mess. It has some terrific ideas and some classic stories, but it's all over the shop in a way that no other series is other than perhaps Series 1 where they didn't know WTF they were making. This is, as is well documented, more down to production troubles than scripts, but I think the same sort of semantics can be applied to Sherlock in the end - it's not dog shit as the internet hyperbole might suggest, it just sort of loses its way, imo.