I agree it seems more common. However back-up time and data movement should be equivalent if you follow the algo steps.
According to chat GPT the forward delta approach is common because it can be implemented purely append only, whereas reverse deltas require the last snapshot to be mutable. This doesn't work well for backup tapes.
Do you also think that the forward delta approach is a mere historical artifact?
Although perhaps backup tapes are still widely used, I have no idea, I am not in this field. If so the reverse delta approach would not work in industrial settings.