Overbridge - RYTM Fx through A4 External Inputs

I want to enable all the RYTM’s voices in OB, but I still like to use the internal FX. I don’t really buy into Cenk’s idea that why would you want to use the internal Fx when you can use DAW plug-ins because:

(a) I like the internal Fx
(b) I think P-Locking the Fx is a big part of what makes these machines so expressive

So I was thinking - has anyone tried enabling all the RYTM voices in OB, then routing the Fx from the main outs into the external inputs of the A4, then recording them via OB? I don’t have my machines in front of me, so was just wondering in advance if anyone had tried this.

Thanks!