I saw just few patches from the top and only this one on my way up. First snowfall is usually in september, so these should last all year round indeed. Yeah, Morskie Oko is quite crowded since you can get there with a help of horse and it's basically the most famous landmark there, but even the top of Rysy was quite crowded as you can see on the picture.
Have you reach the highest peak of the Czech Republic?
Yeah, I can imagine how crowded these place get... Well, it´s a shame but as far as I remember, I haven´t been on the top of Snezka, our highest mountain :) From my hometown, the Jeseniky Mountains and the Beskydy Mountains are both much closer than the Krkonose Mountains with Snezka so people from my region usually visit Jeseniky and Beskydy.