I think it means a conservative family, which not only does not nurture the apparent aptitude of the kid for programming, but maybe also actively prevents it from any further development; due various reasons, but probably mostly, because of their incoherent belief systems.
I've personally had been through something similar, albeit not in such radical way. My parents bought me the eastern block's Apple II clone when I was at age of 8, but despite that, later in my teenage years I had to constantly overcome various forms of pressure – i.e. this computer won't make your living when you grow up, so stop f*cking around and get more interested in your high school material, because as it goes it seems you won't be even able to finish it. We're kind of joking now w/ my parents around that, but boy - it was no fun back then.