Why should an AI care to spend time near a black hole, in order to 'have more flops for no effort'? That's the same as slowing down the AI's substrate, or putti

Why should an AI care to spend time near a black hole, in order to 'have more flops for no effort'? That's the same as slowing down the AI's substrate, or putting it into suspend mode. If the non-AIs can survive for centuries, why can't the AIs? In other words, why does the AI care about the "still" in "still take centuries"? If the AIs have interstellar war, they won't be bogged down in slowtime around a black hole. The ones in fasttime have more chances to control the computronium, and a faster response time to take advantage of whatever those compute cycles are being use for.