Multiple services using the same database will typically end poorly. When schemas or indexes change, how will that affect all of the different services? How do their read/write patterns differ? When one service needs to scale, will the additional connections starve the other services? And worse, if a service ends up moving to a different team or department, who controls the database?

I prefer a service that fronts the database. Swap the database, scale it, whatever, and clients keep going.