Several members have removed the carpet and/or vinyl floor covering and installed plank vinyl or even laminate flooring. There are some threads that do a pretty good job of explaining what they did, issues they encountered and even photos of the results. Do a forum search for topics like "Floor covering" or "replacing the carpet" or "replacing the vinyl/linoleum".
Whether the slide will contact the new flooring and possibly damage it is more an "individual trailer/slide issue" than an overall "yes it will or no it won't" statement. Every trailer, especially one that's 20 years old, has wear, slide alignment changes and potential swelling/water damage to the OEM floor decking. Then there's always the chance of "frame twist" that may have damaged or changed the way your floor decking sits "flat or bowed" on your specific trailer that make any "statement about slide contact with the new floor covering" a "best guess in your situation".
After that many years, the chances of significant changes in the trailer's OEM clearances and configuration are just too great to make any blanket statement about slide/floor contact.
The best way forward is to get down on your hands and knees and watch the slide (from inside AND from outside) to see how much clearance you have on your specific trailer. When doing that, make sure you stay clear of the slide (especially while outside, under the trailer) as the force of the moving slide can injure or crush you, so watch what you're doing as well as watch what the slide is doing to the floor.
Probably some of the "still active posters" who have done such a mod will post, giving you their experience with such a modification.