GE did kinda have a spray-rinse... they called it 'sudskill' where water would spray into the tub at the start of the spin after wash, the motor shut off and the tub coasted with the water spraying, then the motor kicked back in to continue the spin extraction. The water shut off shortly thereafter. I've observed this on my 51 AW5B6 and according to the timer charts, the 53 and 57 GE's should do this too.
My 56 Norge has a spray rinse, as does the 58 Dominion and the 66 Blackstone (the 57 Hotpoint, too, but it's still "in the shop") - all of the above surprised me as I thought a spray-rinse was a perf-tub feature only!