If I rename a RAW in Lightroom on iPad, sync it to Lightroom cloud, and export it as DNG from the cloud-based Lightroom desktop app on Mac using “Original name”, does the exported DNG retain the renamed filename or revert to the camera filename?

Title: Does Lightroom desktop on Mac preserve a renamed RAW filename when exporting as DNG from Lightroom Cloud?

I use PhotoCuller on my iPad to rename RAW files before importing them into the cloud-based Lightroom app. My filenames follow a convention such as 20261024_TestShoot_001.DNG.

I have discovered that when I export an edited photograph as a DNG from Lightroom on my iPad, the resulting filename appears to revert to the original camera filename rather than retaining my PhotoCuller-renamed filename.

I’m considering subscribing to the Lightroom plan with 1TB cloud storage, so that I can use Lightroom on both my iPad and Mac.

My questions are:

1. If I rename a RAW file in Lightroom on iPad and let it synchronise to Lightroom Cloud, does the renamed filename remain available in the cloud-based Lightroom desktop app on Mac?
2. If I then export that photograph as a DNG from Lightroom desktop on Mac, selecting File Naming → Original name, will the exported DNG retain the PhotoCuller-renamed filename, or will it revert to the original camera filename?
3. If it reverts, is there a reliable way to export the DNG from the Mac while retaining the renamed filename?

I’m specifically asking about the cloud-based Lightroom desktop app, not Lightroom Classic.

I’d be very grateful if anyone has tested this exact workflow and can confirm the result.