It would take some effort and great risk to snatch 1 verbal mobile child in a short span of time not to mention how difficult it would be to abduct 2. Child abductions are not as common as some might think. Especially when 2 parents are close by.
From watching the interview again, dad seems to think they are in a house close by, meaning in the neighborhood. He mentions something about going to search peoples homes but can not because of privacy or something.
Keeping in mind the aforementioned idea that there's some element of truth in every story, what if the parents' account is largely true, only the boys actually went missing a day or more prior to the report?
If the other kids were away at their grandparents', the parents would have "only" two to care for, both of them very young with presumably early bedtimes. (As a parent of five sons with Former Spouse, I can attest it felt ridiculously easy when the older ones were at their grandparents' and we only had our then-youngest at home to get to bed.)
I feel crummy even mentioning this, and please keep in mind it's not an accusation, as there hasn't been any mention by LE of substance use, but what if there was some "excess" celebration and it was discovered far too late that the boys had left the property? Then the parents reported the disappearance almost immediately after discovering it, but they had to change the date and the narrative of their actions at the time, for risk of losing their other children.
Yes, that scenario would require the combination of stranger abduction and parental incapacitation/neglect, but maybe they were taken by someone who found them wandering alone and delusionally felt it was their duty to provide them with a "better" home. Just going by what LE has released to the public, I hope this scenario hasn't been ruled out unless they have undisclosed evidence to the contrary.