Bah, instead of running my own app instance, do you mind if I make a Chrome extension on top of it, and you can push the code you like back into the running ver

Bah, instead of running my own app instance, do you mind if I make a Chrome extension on top of it, and you can push the code you like back into the running version? Meta-question: if a Chrome extension uses significant server-side resources, should one ask the site host first? (legally, I think the answer is "no")