I hate 'historical present' with a passion - in the way it's being used (over-used) nowadays. It's endemic in most TV documentaries now. When I hear it being used too often, I switch channel or turn the TV off and do something else. Read a book usually - authors can speak and write English in a balanced, standard and non-annoying fashion.
As with many things like this, some people find it very annoying. I certainly do. The reason I do can be easily demonstrated via analogy...
The reason I find it annoying is because it's not quite right!! Do you know what I mean?!?! Yes!! You do, don't you!!! Are you agreeing with me!!?? It doesn't matter what words I put here!! It's all about the excessive exclamation marks!!!! By over-using a particular device - in this case (an exclamation!!), the usage becomes really, really, really, really annoying!! And - yet, syntactically, those sentences are all ok!!!! But doesn't it get annoying, all these exclamation marks?!?! It does, doesn't it, because there's just too many of them!!!! It makes me sound like a total imbecile!! With no balance or subtlety in my use of the English language!! It's very, very, very tiring!!! Constantly using a 'feature' - like an exclamation in a sentence, or a crash cymbal after EVERY drum fill, tinnitus, or, as in this case, using a current tense for a past event soon gets very tiresome - and hence annoying to (some of) those who notice it.
So documentary speakers - please: THINK, and LIMIT yourselves. Do not gorge too greedily. If you use historical tense wisely, it can serve your art. But if you just spray it around all over the place like a hose pipe that had been hidden in long grass when you raked the lawn, then (a) you don't do a very good job in your presentation, (b) you annoy parts of your potential audience needlessly, (c) you set a poor example to others and (d) you make some of your potential viewers change channel. NONE of those things apply if you simply use (99% of the time) suitable tenses. You will not annoy people or lose viewers simple for saying "He picked up the pistol - and as his wife swallowed her poison capsule, Hitler shot himself". It's already informative, accurate and historically interesting. Given the programme is a historical documentary then no amount of dubious tense choices, or other cheap trickery will prevent viewers who require more excitement from switching channel and watching Iron Man fighting with a cyber warrior from the future, or something. Although... perhaps if you add exclamations and cymbals and pauses in the middle of sentences instead of at the ends, it may?... "He picks up the pistol (CRASH!)!! As his wife swallows her poison capsule (CRASH, CRASH)... Hitler!.... shoots!!... himself (ba dum bum, ptSHHH)!!!".
But of course, it's a free world. And if this is the road that TV must travel down - well, there's plenty of books out there for me to read instead! That was my actual exclamation mark right there.