My biggest problem with short URLs is they appear spammy. I can't look at it and decide whether it's safe.
Just yesterday I received a text from a shortcode with a "bby.me/XXXX" URL saying my Best Buy order was canceled. Turns out it was a legit order I placed nearly 6 months ago and was on backorder that I forgot about.
I'd love for a shortening service to offer an "unfurl" tool where I could paste in the URL, and it shows me what the redirected site is without clicking it and potentially activating their clickthrough tracking.