Yes, that's how the wireless versions work. One unit blows in while a second identical unit (located across the house) blows out, and they switch roughly every minute. This balances the airflow, so you don't get un-regenerated airflow "somewhere else" like you do if you use a single unit.

  "in... thermal regenerators, the hot and cold fluids pass through the same channels in the packing, alternately, both fluids washing the same surface area. In recuperators, the hot and cold fluids pass simultaneously through different but adjacent channels." https://www.thermopedia.com/content/1087/

A regenerative-type ERV alternates the flow direction of the air, using the packing material as a thermal "battery" to warm the incoming fresh air from the outgoing exhaust air.

While they are indeed simpler, my understanding is that they don't really perform well.

this is great information, thank you!

i'm surprised there's no humidity recovery; i'd think that, with a regenerator, humidity recovery is unavoidable even if you don't want it. maybe you're talking about cases where humidity or ΔT is so low that you don't get any condensation? https://news.ycombinator.com/item?id=38746150 points out that a little desiccant can solve that problem