How do minimum scattering antennas extract energy

In our antennas and fields course, we had one task where we simulated a line antenna in an incident plane wave. There, we specifically looked at the fields produced by scattering from the antenna.
When looking at the poynting field of only the incident wave, we saw an energy flow with constant rate and direction everywhere, as expected. When combining incident and scattered fields and calculating the poynting field from the total fields, we saw that the antenna in a way sucked energy out of its surrounding area. The poynting vectors around the antenna where turned towards the antenna. "Behind" the antenna, they even changed direction fully.

Now I came across canonical minimum scattering antennas. The idea is (I think), that an antenna can be loaded with a specific inductive load, resulting in (practically almost) no scattered fields for a given frequency. As a result, the antenna can be modeled as scatteringless.

How does such an antenna extract energy from an incident wave? As far as our task was concerned, the energy was extracted by turning poynting vectors towards the antenna. But this doesn’t happen without scattered fields, does it?