  In this note we study the behavior of symplectic cohomology groups under
symplectic deformations. Moreover, we show that for compact almost-K\"ahler
manifolds $(X,J,g,\omega)$ with $J$ $\mathcal{C}^\infty$-pure and full the
space of de Rham harmonic forms is contained in the space of
symplectic-Bott-Chern harmonic forms. Furthermore, we prove that the second
non-HLC degree measures the gap between the de Rham and the
symplectic-Bott-Chern harmonic forms.
