I've seen that one posted before, the same or some similar with variations. I don't think any one fix really addresses it across the board - different people have success with different things. There has been a connect item open for similar issues for awhile. In case you're interested, check this link: SSRS 2012 Failed with win32 error 0x03E3
The one thing that is common (most of the time) is using Internet Explorer. I would guess you already compared versions to see if there are differences for those who have the issue and those who don't.
If you think it's an IE caching issue, a couple of places to look would be: Go to options, General Tab, go to Browsing History and click on settings. In that window that comes up, the Temporary Internet Files you could check for new versions every time you visit the page. And on the Caches and Databases tab, you could disable caching.
Or you could just compare these settings with a user who doesn't have the issues and a user who does and see if you can find any differences.
There is also a setting in the registry that could possibly be related. In the key
There is a setting for DisableCachingOfSSLPages. You could try comparing that setting or try flipping that to true and see if that makes a difference.