The DPD (Digital Pre-Distortion) corrections would be applied in the digital domain, that is, before the digital-to-analog converter in the Tx path.
Icom's IC-7610 description says it uses Digital Upconversion which means it creates an true digital representation of the transmit signal at the transmit carrier frequency. It says: "Breaking with the tradition of mixing a carrier signal with a local oscillator, a Digital-Up-Conversion (DUC) method is used to generate the required signal from the Digital-to-Analog Converter."
So the sampled RF from the PW2 needs to get digitized then processed in the 7610's Tx DSP before it gets converted to an analog signal. They likely do the DPD correction at baseband, before going through the DUC. That's the absolute best way to clean up the entire Tx chain, from bits to antenna port.
The IC-7851 does not seem to have this feature, so apparently this new DPD capability will position the (upgraded) IC-7610 as Icom's new flagship transmitter!
73, Ed