Hm, I'm not sure about that. There's the mixture of experts idea that does not exactly stacking, but rather specializes multiple models to parts of the data so each data point gets assigned to a specific shallow model. What you need then is an assignment rule, mostly done by a classifier and it's been shown that this is cheaper in terms of compute at evaluation time. I'm not sure if the idea is abandoned by now, but Google Brain published a paper on this and there were subsequent works.