Currently, blink::Deprecation::CountDeprecation contains a few checks which might not work correctly with OOPIFs:
 ...
 if (!page || page->GetDeprecation().mute_count_)
    return;

  if (!page->GetUseCounter().HasRecordedMeasurement(feature)) {
    page->GetUseCounter().RecordMeasurement(feature);
    ConsoleMessage* console_message = ...
    frame->Console().AddMessage(console_message);
  }

Namely, this relies on keeping page-level state for mute_count_ and UseCounter::HasRecordedMeasurement(), which we don't currently replicate.  Therefore, we might record extra measurements and print extra console messages from OOPIF renderers.