Can the ADKernel also compute off-diagonal Jacobian?

[Yaode-Yin]

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Question

Hello MOOSE team,
I am working with MOOSE and using ADKernel to implement a custom residual term with automatic differentiation (AD). I understand that ADKernel should automatically compute the Jacobian entries for the diagonal blocks (i.e., derivatives with respect to the same variable the residual is defined for). However, I am not seeing contributions to off-diagonal Jacobian entries (i.e., derivatives with respect to other coupled variables). Does ADKernel automatically compute off-diagonal Jacobian terms, or is it limited to only diagonal contributions?

[GiudGiud]

Hello

Yes ADKernel / residual-contributing-objects also take care of computing off-diagonal contributions to the Jacobian.
How are you checking for these off-diagonal entries?