Let's look at your gas engine starter. Say the PSV is set at 125 psig. Now let's say that you are observing a problem developing in the plant that might be solved by putting another compressor in service. While staging to start the compressor a big PSV lifts and raises the flare header pressure to 200 psig at the point where the engine starter enters. Now lets say that the starter system exhausts into the flare header between the PSV and the check valve (I know it sounds dumb by itself, but I've seen the near-religous fervor to reduce "greenhouse" gases lead people to interesting decisions). When you turn the starter on, it will come up against the check valve held closed by the big PSV. A few seconds later, the starter PSV will lift with no place to go. A few seconds later you have a 60% overpressure on the starter system and the check valve starts to open.
That scenario is credible and doesn't require unrelated events to happen concurrently.
Flare-header analysis is very complex and needs to consider a really wide range of possible scenarios. When a new stream is tied into it, the entire analysis is required again. In a plant where management has decided to bring in a fundamentally different stream, one of the costs of bringing that stream into the plant is an analysis of the flare header and the associated costs of modification. If you have a sweet-gas plant and the decision is made to add an amine system to handle sour gas, you need to build a new flare header as part of the cost of conversion.
David