FaaSes do add some twists on CGI. In CGI the short-livedness is the process, in a FaaS it's the container. A CGI program can get away with relying on local modifications to a file system in a shared environment. FaaSes somewhat point away from that.
There's also the speed of scaling. Insofar as FaaSes rely on lower layers to insulate the layer between process and machine, it becomes plausible to grab a number of machines relatively quickly. There's a cold start cost, to be sure, but the cold start on "launch this container" is probably better than "install this software and then launch it".
Both are processes, but the administrative overhead is lower when you can contain the blast radius with namespaces and cgroups. The illusion of isolation is much more complete to the containerised process than for an uncontainerised one.
I like to think this industry is full of smart people, but it always makes me surprised how willing are we to drink the kool aid.
Guess being smart and having a herd mentality are not mutually exclusive. (Perhaps they are actually correlated? :P - Ie. my professor advised me to use the Linux Distro my friend uses, because then I get ask for help from someone.)