URL based Bitcoin wallets proved this not to be the case. URLs get picked up by Omnibar, Skype, etc. they find their way into search results... I wouldn't even trust secret material in the fragment-id even though that in theory is safer.
The dodgy ones don't have access to the URLs. The example was Skype links: if Microsoft scrapes those, they'll follow the rules and not make them available in searches.
If you give your link to a dodgy search engine, you've lost.