Batch Rename Objects and Meshes Simultaneously

I have found that majority of the time I use the batch renaming tool I will need to run it twice. Once for renaming the objects, and again to rename the meshes, and in most cases using the same naming configuration.

While it doesn't take much to activate it a second time, it would be even easier to have an option for renaming both objects and meshes simultaneously.

Sorry if this is a duplicate, I did a few searches beforehand.