Hmm. They are different achievements. To call one somehow low compared to the other is fairly patronising. Never mind the "that's a fact and you know it is" statement that is, in fact, impossible to know or ever verify. Who is to say how many ideas for melodies that have been created in the past but, subsequently, forgotten or never committed to paper, that were then re-created some time later? Perhaps Mozart had a great idea for a few more pieces that would have looked suspiciously similar to various of Beethoven's own sonatas.
It's unlikely, to be sure. But it is not a "fact" by any stretch of the imagination. Not that it matters all that much, as it seems that people on both sides of this debate are misunderstanding probability. In the first place, you can't really make a statement about how likely or not life/ DNA structure is to emerge spontaneously until far more is understood about the mechanism behind its emergence. It may turn out that, given the right conditions, DNA is basically certain to emerge -- and it may further turn out that these conditions have generous enough margins that they aren't all that unlikely to happen after all. And if the probability is still fairly tiny then it grows that much larger given a large enough Universe with enough places to "try" to create said conditions. One way or another it's only speculation at the moment, but there are better reasons to believe that there is some underlying mechanism that drives its creation than there are to believe that it took the purest of random chance for DNA to be formed.
On the other hand, what happens in probability when you allow an infinite amount of time for things to happen tends to be misunderstood. Suppose you were given a typewriter and an infinite life time to hit keys randomly. Then in principle, an infinite time later, the probability that you have typed every book in the current English lexicon approaches one. In practice this can't happen, but more importantly events of probability one aren't necessarily a certainty if you have infinity to play with. What happens if you keep hitting the "A" key all the time? This is an event that has probability zero after an infinite time, but this doesn't mean that it can't happen. So one has to be careful about the infinite monkey problem.
Anyway, we have had only just over 60 years of human endeavour to understand the structure and origins of human DNA. A bit too early to write off the idea of spontaneous emergence based on only that long. If scientists gave up trying to find an underlying mechanism every time it seemed to complex to be indivisible then we'd still be stuck in the dark ages (and, incidentally, music and art would also have been much worse off for the experience).