I've found no such projects so I had to write my own. Here it is: sandfoxme/phpstorm-metadata-export. It currently supports exporting data from Pimple and has 3 integration middlewares: for Slim, for Silex and for Psr-15 compatible frameworks.
P.S. Code completion support for ArrayAccess containers seem to be currently broken in PhpStorm (WI-33309, WI-35503). So I don't currently recommend replacing Silex Idea Plugin with this library unless you use Pimple in Psr-11 compliant way (like Slim does by default)