Circuit is fine, but actually what's the point in doing all that. Very limited usage the way I see it.I'm just throwing this out there. Since nobody has posted a schematic, I'm throwing one out to see if it can be tweaked. This is a 1-of-4 "radio button" selector using 4 relays. If they are latching, then they retain their state after power is removed. If the left button had a second set of contacts that applied power as well as activating the coil on the first relay, pressing it would reset to the first relay. But I don't see an obvious solution for toggling to the next relay on power-up (trigger).
Ken