How to copy an object while maintaining its X, Y, W, and H values?

"Is there no way to copy an object from one page to another while maintaining exactly the correct X, Y, W and H values?"

Yes, if the target page is on a different spread and at the same position as the source page.

Edit > Paste In Place

Regards,
Uwe Laubender

( ACP )

Edit > paste in place (Cmd, Alt, Shift V [Mac], Ctrl, Alt, Shift V [Windows])

Any pasted object is placed on the center of you screen. You can do following:

• Copy and Edit > Place in the same position (it is a different command, I am not sure about the correct wording in EnglisH9
• Create an Object style which defines size and position and apply it to any new object you want to have on that place.
• Export one or more selected Objects as an InDesign Snippet and File > Place it in any document. 
• Create an InDesign Library INDL, add any object and later place it not via drag & drop, but via place command of that panel.
• Create an InDesign CC Library, add there in a section that object. When you place it in a new document, hold the Alt/Option key, so it will be placed on the very same place.

Same place might mean something different on a left or rigt page, or on a non-facing and facing document, depending on spine and ruler settings.