Not quite; he should build it on his own servers and not be artificially amplified by the infrastructure of existing commercial services. I’m pretty sure the infowars website is still out there and thriving, not like I’m gonna check or anything, but I bet it is.
What Milo is bitching about is a thing of absolute purest distilled beauty: he got deplatformed and it worked. Now if he’d been smarter, he would have driven people toward his independent website and his brand, but Milo … isn’t smart.
There’s no guarantee, of course, but to your “look at the history, it’s exactly the same” examples … in the past, until you built a radio broadcast station, or a TV broadcast station, or at the very least hit up a Kinko’s copy shop every so often, you’ll have by definition zero audience.
In the post-smartphone world, everyone gets a shot at talking to everyone now, no infrastructure investment required. Other than a phone, which you probably needed anyway to function as an adult in society these days. And hey, more controversy = more clicks = more views = more engagement = more ad sales = more platform revenue, right? 
It’s funny, well not funny, but strange I guess, that Alex Jones was in that Through A Scanner Darkly movie as a “harmless wacko”. Turns out they’re all harmless until they get free tickets on platforms that algorithmically amplify their hate for clicks.
