Part of the job as a producer is to try to identify problems, not only when they appear but also, and mainly, and there are chances that the problems happen. So, every time we see something can be wrong or could happen, we have to be in touch with the team, make them aware of the problems/concerning and try to mitigate it as soon as possible. Also, as possible as we can, we should try to propose solutions for solve problems or to avoid them to happen.
One of the mains things to remember is that, as producer, we do not have to concern about the game design itself. In general, we are supposed to ensure the final delivery of the game in time, with quality and accordingly to the client’s desire. And, having this in mind, we claim for results to the production team to ensure that. If the design/art/mechanics are ok for the client and we have time and other resources, that’s ok. We only ask for changes to the production team if we see something which goes against final deadline and/or client desire.