Nesting another trip inside a ticket is usually allowed. Returning back to the point of origin on a separate ticket to circumvent the minimum stay is classic back-to-back ticketing. This is exactly what's happening here.


Yet... this looks like a classic "parent dropping off minor for holiday week". If there's two pax on the outside, and one pax on the inside, I can wrap my mind around this not breaking any rules, especially if the additional pax is a minor, as you'd presumably absolutely want them on the same PNR. If the extra pax had to be on the same PNR during transport, and CO gave you grief about "technical" nesting... you'd have to buy six one-way tickets, or maybe 2x outside and 2x inside one-ways.
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While you seem to be able to rationalize the family values argument, I don't think it's a justification for back-to-back ticketing.