Enabling Randomize Ports wouldn't (shouldn't) require any changes to those sites or anyone's setups. Even if randomized, it's still within the port range that is there and if that doesn't change, nothing has to be done by the user or those sites.
Changing the port range to something else would be an issue, though. That said, I really don't think the range should be 1024-5000. There's no good reason for that and it opens a lot of ports. It would be better to drop that to 20 ports for most people, or to be conservative, 100. But, yes, that does affect those sites.