The modifications to ADFC (which was not a very well designed programme in the first place) were not, contrary to what is often assumed, part of Lyndon Johnson's 'Great Society' agenda but occurred during the Kennedy administration. In any event, while the social impact of those reforms to ADFC were demonstrably negative (even if the extent can be argued), all Western societies saw an increase in single-parent families during the 1970s and 80s, which means that the general pattern cannot be blamed on ADFC, even if we can say that it likely made a bad situation worse.
I’m not sure if you’re familiar with this, but do things like single mother benefits exist in the UK/most of Western Europe? When were those created? And are parallels to other Great Society programs common?
Benefits systems vary a great deal from country to country and
of course money was/is available to single parent households, but I'm not aware of a specific benefit anywhere else that had the very distinctive flaws of ADFC.