Here's the response I got the other day from Photobucket Support. I'll try to attach a photo I resized just 2 hours ago, let's see if it is smaller yet?? Nope Denied.

"There can be a delay when editing images, and them displaying the edits. Usually its not more than 20 minutes, but it can be a few hours, depending on how quickly the cache is updated. Clearing your own browser cache can also speed up the time it takes to display those images, as the older version of the photo will also be cached in your browser."