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Lately, I've played a few games with unlimited turns, and honestly, I enjoyed it. It's not too long, and it's not stressful. I think that among players who know and respect each other, and each other's time, this is perfectly normal and acceptable. IMHO.
I often play with unlimited turns myself. It's not stressful at all. There was one case when my opponent fell asleep for an hour, but it happens.