The 4n+2 pi electrons do not reside within the ring. Draw the resonance structures, and you'll see that moving the C=CH2 pi electrons into the ring results in the terminal C being electron deficient.
I would assume that the energy required to maintain this arrangement is more than the stabilization offered by aromaticity. So you have 5 pi electrons (2 C=C bonds plus 1 electron from the carbonyl C), not 4n+2.
In tetrahydrofuran, however, the O atom can participate in resonance and some resulting structures have O with four bonds, yet it isn't electron deficient. It may be one of those matters where O can handle the extra bonding electrons due to its higher electronegativity, and thus the energy it takes to maintain that state is sufficiently lower than the stabilization afforded by a cyclic, 4n+2 pi system.
That's what I think. Honestly I have no idea.