Originally Posted by
cubewheels
Relative to the recommended pressure according to the weight on each wheel with the rider + gear on the bike.
How do you know that? The OP never said it. They could have meant relative to the pressure they had been running in their narrower tires, or they could have meant something else entirely.
Even if that
is what the OP meant, your statement is ambiguous. There are a lot of systems out there for recommending tire pressure, and they sometimes give wildly different results!
The roads in our region have plenty of large cracks, extremely worn surfaces that have revealed the rock aggregates beneath, and wide sewer covers that very abruptly goes up or down at least 1 inch. I run at least 11% higher pressure than recommended with 35mm wide Panaracer tour/urban tires with puncture resist. I used to have 28mm road tires which pinch flatted in these roads at exactly the recommended pressure.
Okay, but "bad" road can have other meanings as well. For example, there are a few counties around here where many roads are well-maintained in the sense of not having large defects, but use rough chipseal for their surfacing. Using fairly low tire pressures to achieve a smooth ride on these roads does
not produce an unusually large pinch risk.