I thought the question was about radiation emitted by the black hole itself, i.e. Hawking radiation, not radiation emitted by matter outside but near the black

I thought the question was about radiation emitted by the black hole itself, i.e. Hawking radiation, not radiation emitted by matter outside but near the black hole, i.e. accretion disk radiation. It's not really contradictory that stuff outside the event horizon can still escape.