Wow. I suspect Rap Genius has the dollars now where it's totally feasible for them to go beyond Heroku, but it still might not be the best use of their time. But if they have to do it, they have to do it.
OTOH, having a customer have a serious problem like this AND still say "we love your product! We want to remain on your platform", just asking you to fix something, is a pretty ringing endorsement. If you had a marginal product with a problem this severe, people would just silently leave.