You're mistaken. Into the Darkness is a more authentic take on how CoC really looks like. Naturally they can't sit around the same table because many live far away from each other. And Thom Raley and others are better Keepers than the guy on Critical Role. They know the rules. They know Lovecraft's material better too. They are authentic CoC-players and they play tons of official releases. Look at their sessions of Amidst the ancient Trees. That's one of my favourite sessions on that channel (and they played through the ENTIRE Horror on the Orient Express campaign too). Into the Darkness have had had both coloured players/Keepers, female players/Keepers, gay Keepers/gay players and people from all over the world. All that jazz.
The props of Critical Role filled no particular function. The written paper that the Asian woman got, did one even get to see it? I must have missed that part. I must have missed the maps too. And with all these voice actors (that lack the charisma to be big actors) it's always "look at me, look at me now". The only guy who was more laidback and natural was the black guy. And there was alot of laughter too which hampered the horror mood. I'm sorry, but this was more cosplay than Call of Cthulhu. And looking at the fan art, it's a voice actor's cult. Almost every illustration were of the participants, not events in the scenario.
If you have AAA quality like you say, invest in a dice/prop cam (because I think they cheat with their rolls). Make the actors understand that it's a horror game, not Victorian era Scooby-Doo. Keep the mood in the horror vein, take the game and the scenario seriously. And learn the rules as a Keeper if you have had two years to do it.