It shouldn't other than Primal. Never change your relays in Primal. They will ALL be listed as both inbox and outbox relays if you do.
The other clients you mentioned all seem to respect which relays you have set for inbox and which for outbox, though I admittedly haven't checked to see how HiveTalk handles relay settings. 😉
Some clients, like Nostrudel and Jumble have relay lists that are only used within that application. Changing those should not affect your relay settings anywhere else.