Depends on what you mean by entertaining I guess.
I find the whole crime and deduction thing more entertaining than finding out about his background and sticking labels on him.
The Doyle stories were little crime dramas and each one revolved around the crime and how Holmes managed to solve it. Some weren't crimes but mysteries, like the Yellow Face. Each one was unique and the deduction was what made them highly entertaining and fascinating.
Yes it was nice to get glimpses into the character of Holmes from time to time but Doyle knew to keep readers guessing and wanting more which is why he never expanded on any of his characters - not Holmes, or Watson or Mrs Hudson. We never even knew the first name of Lestrade, just that it began with a G hence all the jokes about Sherlock getting his name wrong.
Doyle focused on the crimes and mysteries, he would never have left his characters open for analysing, it just wasn't his style.
I truly believe that he would be the same today and would frown upon all this relationship nonsense, telling critics that they were missing the point. As Holmes said to Watson, they are romanticising what could have been fascinating insights into the art of deduction.
It's a feature of Gatiss and Moffat that they expand on the characters and start to analyse and explore them more than they ought to, frustrating the viewer. Certainly the kids have noticed this with Doctor Who, they said it was boring without the monsters and they hate his 'wife'.

I can't help being nerdy over Holmes!