I can't tell how this diminishes security, assuming the normal practice of using one-time receiving addresses is still used. EDIT: And assuming you are comfortable having a middleman like Instawallet involved.
Instawallet (appears like it) works by giving you a bitcoin address, and a unique URL which gives you access to send money from that address. From that perspective, I agree: horrible, horrible idea for safety purposes. Bookmarks rarely (ever?) have secure storage.
Did you know Google will still index URLs prohibited by robots.txt if it finds a link to them (it just won't crawl them)?
The intent of the URL is that you should bookmark it and otherwise keep it private.
Unless you know of some way for an attacker to get at the browser's bookmark list (which I'd be interested to know about; I'm certainly not enough of an expert to be sure that no such attack exists) then this seems fairly secure.