We start with study of the meson form factor F_(M)(Q~(2)) constructed using recentlyproposed holographic light-front wave functions. We find that its asymptotic behavior is generated by soft Feynman mechanism rather than by short distance dynamics. This causes a very late onset of the 1/Q~(2) asymptotic behavior at unaccessible momenta Q~(2) approx.> 10 GeV~(2). We show that this model can be also obtained within the Migdal's "meromorphization" approach if one applies it to 3-point function for scalar currents made of scalar quarks. For spin-1/2 quarks, we demonstrated that resulting form factor F_(M)~(spinor)(Q~(2)) has 1/Q~(4) asymptotic behavior, but owing to late onset of this asymptotic pattern, F_(M)~(spinor)(Q~(2)) imitates the 1/Q~(2) behavior in the few GeV~(2) region. In the meromorphization approach, just like in the local quark-hadron duality model for the pion form factor, adding the O((alpha)_(s)) correction to the spectral function brings in the hard pQCD contribution that has the dimensional counting 1/Q~(2) behavior at large Q~(2). At accessible Q~(2), the O((alpha)_(s)) term is a rather small fraction of the total result. In this scenario, both hard and soft contributions are present, and the "observed" quark counting rules for hadronic form factors is an approximate and transitional phenomenon resulting from long-distance dynamics, Feynman mechanism in its preasymptotic regime.
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