Are you speaking from experience, or inferring from articles like this?
I serve a static site on the lowest Linode $5/month VPS and it is grotesquely overprovisioned for that use case. It is not the case that every site is getting slammed every second by hundreds of requests per second.
Now, if you have some sort of dynamically-computed website that is generated by a slow scripting language that is poorly optimized and hits the database too many times for a single page, yeah, it doesn't take many RPS to take you out. But that isn't the only option; it's the slowest of the slow options. Realistic, there are plenty of sites that match that description, but I concatenated that many clauses on purpose. Drop any one of them and your personal site will be fine.