The fix for this issue is now available in the latest update (14.0.2) of InDesign 2019.
If you are unable to see the update notification, open the menu (three dots) from the top-right of Creative Cloud desktop application and click on ‘Check For App Updates’.
Once the update button is shown against InDesign, click on the button to update to Id 14.0.2.
If you face any problems with the new update, do let us know in the comments.
The list of fixed issues can be found at: helpx.adobe.com/indesign/kb/fixed-issues.html
InDesign TeamStephanie commented
I'm having this same issue as well. I'm only changing the images from RBG to CMYK (not resizing or anything) and the image shifts. This is a nightmare because I have so many carefully placed images, and need to do all the color updates in a batch, not one at a time before I place them all.
How do I turn off content-aware fit?