I said "little or no education" compared to other fields. I'm a grad school dropout, so my bet is that my CS education is above average for a working programmer. A hiring process considered "demanding" (such as Google's) is basically testing if you know the stuff they learn in the first year and a half of an undergraduate program. Contrast that to the amount of training and test-taking that a doctor must go through and it'll put what I said in proper context.
In that case I think "little or no certification" would be more appropriate. It does seem kind of strange that doctors, lawyers, electricians, plumbers, and barbers all have to take tests to get into (and sometimes remain in) their professions, but a programmer can write the software for a missle system, voting machine, or power plant with no certification whatsoever.
The litmus test is not the complexity or impact of the product a professional is working on, but rather: how savvy are the customers and do they need the protection of regulation?
All of the professions you named are people who hang a shingle and sell services to low-information customers.
Missile systems, voting machines, and power plants are all "sold" to high-information customers that need less gov't protection.
Other engineers do need certification and do face legal culpability if they are negligent in their work, but it's inherently different I think. We can talk more about that if you're interested, would like to hear your take.
I think "little required education" is true, for programming, in both senses: no certification, and not that much to learn to become productive compared to other professions. As I said in another thread, I think the reason is that the field is younger and that computers are designed to be comprehensible, unlike human bodies that doctors deal with or legal documents that lawyers deal with, etc.
There are programmers with almost zero CS education, formal or otherwise, who are rather productive. This may make the more educated among us cringe at some of their work, but the fact remains. If CS education was essential, it wouldn't happen, whatever we think about the merits of CS education (I rather value mine). A high school dropout could not successfully operate brain tumors; there are many countries where the fact that it's illegal wouldn't stop the practice if it were effective, but it can never be. Similarly for most high-paying professions other than programming and certain types of business.