When all customer data lives in the unified database: Just wait until a bug in a query exposes the data of customers to each other, creating instant regulatory and privacy nightmares for everyone.
With an orm and customer objects to create scoped queries, I haven't found this to be a problem. It's also very easy to check in code reviews. And not a painful issue from, well, the lack of this happening given it's an extremely common app design.
Just wait until a migration doesn't run on 2 of your 400+ customer databases. Or multi-hour migrations.