Neither the DOMNodeInsertedIntoDocument event, which we're using for autosizing TextInputWidget, not its non-deprecated replacement, MutationObserver, is supported in all browsers that OOUI targets. This is currently a problem in Firefox and IE 9 and 10. (You can read all about it on T64174 and its abandoned patch.)
We could try polyfilling these, but that would require setting up a polling function that would check the parents chain of the nodes every N milliseconds – probably not something we'd want to do? We could also try hacking up jQuery's function to trigger some events when things get attached, but that's probably even worse.
Probably the only sensible thing we can do is just ask the library's user to call some function after the node is attached…