Back in the day at reddit, for example, we could see an uplift in usage when we made the pages faster, there was nearly a direct correlation.
At Netflix we spent a lot of effort on reliability because every time we had a major outage, there was a dropoff in subscriptions with the cohort that had been affected.
And I've heard similar from other people in the reliability space -- that there is no direct impact on retention from availability issues, but you can see an effect in the long term.