I think there's a valid argument to be made that anything you would use an interactive session for on multiple servers at once is better done as an interactive session on one server, formalized into some rules of what to do (even if just a bash script with a bunch of grep and sed commands), tested on another server, and that should then be run on lots of servers at once (or better yet, batched into groups of a reasonable amount to check nothing went wonky).

In the words of the venerable DevOps Borat[1], "To make error is human. To propagate error to all server in automatic way is #devops."

1: https://twitter.com/devops_borat/status/41587168870797312

You can with the expect module, although I admit it's no fun.