Generally speaking, most single speed machines run at about 1400 strokes per minute. That is fine for most types of woodwork although I believe it is really too fast for metalwork. It is unsuitable for cutting very fine pieces of wood, such as marquetry veneers.
You should be able to cut 6mm (1/4") plywood very successfully with a single speed saw. You would be unlikely to experience problems with 3mm (1/8") plywood, especially since the glued laminates are cross layered and will support each other. However, if you were to cut a 3mm piece of wood you might experience problems with the wood breaking, especially if it is soft or if you are cutting fine bridges. The thinner the workpiece, the more sense it makes to install a zero-clearance insert which will give the wood as much support as possible at the point of the cut. A zero-clearance insert can be something as simple as an address card which is presented to the saw blade and cut half way through, then taped to the saw's table.