ColdFusion 2021

A fuller explanation follows.

ColdFusion's web server connector (wsconfig) does not rely on the web server's IP address. It configures the interaction between ColdFusion and IIS based on the port and context path, not the web server's IP address.. As long as the IP of the ColdFusion server itself remains unchanged, there shouldn’t be any inherent issues related to ColdFusion that require a rebuild or reinstallation. Some points to note:

1. Usually, if there’s no change to the web server architecture (that is, no change in hostnames, port bindings, or configurations), the connector does not need to be rebuilt. So, even after changing the web server IP, wsconfig/connector does not need to be rebuilt unless IIS bindings or configurations have significantly changed. For example, with the CF updates indicated in the link I gave earlier.
2.  After the web server IP changes, you have to update the IIS bindings and Hosts file. Ensure that there are no dependencies on the old IP address anywhere.
3.  Check firewall/security rules and ensure that any DNS propagation is handled properly.
4.  Normally, SSL certificates are tied to domain names, rather than to IP addresses, so this might not be an issue. But it's worth checking. If your SSL certificates are tied to a specific IP address, then you may need to reconfigure or reissue certificates.
5.  If there are external services or clients that cache your web server's IP, make sure that they refresh their DNS cache to point to the new IP.
6.  After making the changes, it is vital to perform end-to-end testing. That will ensure that the ColdFusion application is communicating correctly with IIS, and that requests are flowing as expected.