CorelDRAW has a bunch of persistent bugs with its font handling. Some of the fonts bugs have been there for several years. Yet they keep inching up their subscription price. They want $269 per year for DRAW and PhotoPaint, even though neither have been seeing much in the way of performance improvements or new features. Corel needs to go back to a 2 year product cycle.
In regard to pointing Corel Font Manager to a shared folder on a another networked PC: don't do that. Even if you can make such a thing work the font handling performance would be AWFUL.
I have a fairly huge collection of fonts, but I only let Corel Font Manager "see" my most frequently used fonts. I have what I call an "Active Font Collection" folder that I created on my boot disc drive, a very fast NVMe solid state drive. That speeds up the "render" process when scrolling through the font menu in CorelDRAW. I put what I want CorelDRAW to see in that active fonts folder. And even then, most of the time, I usually have filters checked in font menu preferences to only show system fonts and other fonts installed directly in Windows.
That font menu in CorelDRAW can really seriously hang if certain kinds of fonts are installed in the OS or just referenced in a CFM folder. I think clip-art fonts are the worst at locking up the font menu while scrolling thru the list. Certain poorly designed fonts can bog it down too. Generally, high quality commercial fonts are going to work the most smoothly.