Don’t quote me on understanding this correctly but I believe you only need the gate protection diode on it if it’s the very first stage in a design, going off of this
@Chuck D. Bones comment on a MOSFET AIAB:
https://forum.pedalpcb.com/threads/dunwich-da-120-on-a-breadboard.13465/page-2#post-215875 But yeah MOSFETs are definitely noisier than JFETs.
I saw in a different thread elsewhere you mention SMD and some models of the SMD 2n7002 (I believe suffixes A and K? but varies by supplier) have this diode built into it