I think there is perhaps a dozen reasons why this is an incorrect comparison. If we want to measure the information limit of DNA, we can argue the DNA is the p

I think there is perhaps a dozen reasons why this is an incorrect comparison. If we want to measure the information limit of DNA, we can argue the DNA is the program input... sure, so far so good. But then what is the "tape"? The tape must be empty at the beginning of the program... So, I guess we really need to consider the "program" is the entire universe of atoms... Ok... but then... who said that the program ever Halts, exactly? Busy beaver needs to Halt. So, we actually broke two of the fundamental assumptions of the Busy Beaver problem. So I wouldn't make any guarantees about the complexity of DNA based on it.