objects is different for a same static page but with different URL

Page identification in name mapping, by default, when recording or manually mapping, uses the URL as one of the properties.  In order to "fix" this, you need to, after you do your intiai recording, edit the mapping of the page so that the URL is more generic.

For example, let's say you have two environments.

https://testenvironone.net/

https://testenvirontwo.net/

There is a static page for logging in with a path off the url of LoginPage

So, in a browser, you would see

https://testenvironone.net/LoginPage

or

https://testenvirontwo.net/LoginPage

When you record on the first environment, that full URL is include in the mapping of the page.  What you need to do is edit that mapping and replace the URL with

*/LoginPage

That will ensure that, no matter what environment you run under, the page will always be found.