There is no "style of play" that 5E is the best at. Rather (as has been implied by people here and indeed by Colville himself I believe at a different point in his video)... 5E is the best at being Dungeons & Dragons for the most people.
For singular aspects of D&D, your "best" options are usually in a different edition. If you want to min-max character design, you aren't going to have the wealth of options you can get in 3E. If you want to really challenge your brain in a dungeon-crawl meatcleaver... you'll get more mileage using Basic or AD&D because you have much fewer "class feature" options and numbers of spells to use that can bypass the problems you will face without thinking about it. If you want a tactical miniatures combat game where everything is fairly well-balanced and everything you might need is written down right there on the character sheet and monster statblocks, 4E wins hands-down.
But 5E? They are more often than not the second-best option you have, and for many more things across the board. So if you ranked every edition for every single aspect of D&D that makes D&D what most of us think it is... 5E will score the highest total. They won't be in first place that often, but they will have so many silver medals that it'll be pretty ridiculous. And that means almost anyone who sits down and plays 5E Dungeons & Dragons will come away with it thinking "Yep... everything about this is D&D."
And you know what? Good for the game! Because I suspect people who play D&D are doing so... because they want to play "D&D". The genre of "Dungeons & Dragons". And if they had some other aspect of the roleplaying game genre they wanted to really focus on... they'd play a different edition, or really even more importantly, play a different game altogether.