Those dimmers are solid state triac circuits. The triac has a small forward drop and dissipates heat from the current drawn by the load, and it's power handling ability is limited by the heat sink, and must be down-rated for high temps/currents. The dimmer will not last long if it is run over the rated wattage load. 20 x 40 W bulbs is 800 Watts which will draw around 6.7 amps. Twenty 60W bulbs makes it 1200 Watts, drawing 10 amps, which is too much IMO for the fixture, much less the dimmer! The wiring can easily handle the current, but the dimmer will run hot, and likely fail before its time. The fire danger here is more likely the friggin' chandelier running hot as blazes from those hot bulbs.
Better safe than sorry - drop the bulbs wattage as suggested, so the total is a reasonable load, say 600 Watts, and use the beefiest, heaviest, good quality American dimmer you can find.