A tungsten carbide tool will survive contact with a glass table, but the glass will be scored. There are small cutting tools used for scoring glass, and they don't have a blade. They just have a tiny, very hard wheel. Rolling the wheel along the surface of the glass causes a tiny series of fractures in the surface, and the glass can then be broken along this line of weakness. The photo below is an example of one of these.
So, your glass table will develop many, tiny gouges from fracturing under your tungsten carbide tool. It may not break if it is supported from below, but it will be covered with tiny serrations.
If you plan to cut fabric, plastic film, or cuben, I would recommend a hot-knife (or just a soldering iron with a cutting tip). The copper or soft steel tip won't harm the glass, and the contact area of the sharp tip is too small to heat the glass. A soldering iron with a cutting tip is the only tool I ever use for cutting fabrics or cuben. It works beautifully (clean, accurate, fast) and I laugh at myself for using scissors and blades in the past.