The difference between the root and any as per offical documentation :
root : The application-level injector in most apps.
platform : A special singleton platform injector shared by all
applications on the page.
any : The NgModule injector that receives the resolution.
For more details please refer this article.
Is a service considered a singleton in the case that I use any? - No
To go back to the original question between root & platform, when using a single application in your project, it doesn't change anything performance wise.