  We continue the investigation of coupled Sachdev-Ye-Kitaev(SYK) models
without Schwartzian action dominance. Like the original SYK, at large N and low
energies these models have an approximate reparametrization symmetry. However,
the dominant action for reparametrizations is non-local due to the presence of
irrelevant local operator with small conformal dimension. We semi-analytically
study different thermodynamic properties and the 4-point function and
demonstrate that they significantly differ from the Schwartzian prediction.
However, the residual entropy and maximal chaos exponent are the same as in
Majorana SYK. We also discuss chain models and finite N corrections.
