Opening PDFs saved in SharePoint with Adobe Acrobat desktop application

Our organization recently migrated our documents to SharePoint Online, and users are struggling to edit PDFs because the PDFs open in the browser's PDF viewer instead of opening in the Acrobat DC desktop application. This occurs whether the user opens the PDF from the SharePoint web interface or when users send links to the PDFs.

We configured the SharePoint option to open documents in the desktop client application, but this only seems to be applying for Microsoft Office applications.

We also tried using the Acrobat extension for Edge/Chrome, but the option to open the PDFs in the desktop app downloads a temporary copy of the PDF that doesn't get saved back to SharePoint when the user clicks save.

Is there a better way to make SharePoint PDFs open in the desktop version of Acrobat?