I don't think that's quite what's going on in the ID camp. There is a big difference between stuffing x number of bb's into a given space so they conform to a "crystaline" structure as in diamonds, and finding bb's lined up in such a way as to spell out, in english, the method by which one builds an automated bb manufacturing plant, as in life. You are mixing "energy" and "information." ID theorists are applying the second law to information. You may or may not agree with this, but your statement of their contentions is not accurate.
But there is essentially no difference between your two examples. Both are the result of endothermic processes, the ONLY difference being that one process is more complicated than the other and therefore probably requires more external energy to do its thing. Nothing in nature prevents this.
One very important thing to note though: There is NOTHING in information theory that requires a tendency towards either complexity or simplicity. In other words, the "2nd Law of Thermodynamics" doesn't apply to information theory, it only applies to Thermodynamics as the name of the bloody law implies. The derivation of the 2nd Law of thermodynamics that requires a tendency towards entropy is sourced from TRANSACTION THEORY, a different field of mathematics. The numerous attempts to apply the 2nd Law of thermodynamics to information theory are blatantly invalid, no matter how many times they try to do it.