With some planars I think there can be a risk depending on how its constructed and how much EQ is needed due to the fact that the membrane has to be displaced for them to make sound. With a dynamic is more like a speaker in that there is a surround that can simply flex back and fourth so there it would be more along the lines of what you get with a speaker. With planars potentially it could be more of an issue since the membrane also has to show some degree of elasticity as well given its drawn taught by the frame that supports it. Over small displacements this likely isn't as much of an issue, but since the angles are fairly shallow there is the potential for fairly high stresses in the membrane as the excursion get larger, and some may not fully recover if they are pushed too far. In this case it was my 2020 Sundaras, and given that I have only boogered one pair of planars up thus far, I don't know of all the possible mechanisms, so the resident headphone experts may have more insight into what potentially happened. I EQed the bass region earlier by ear, and it was directly in line with what Amir had applied in his review using his measurements. I think it topped out at 8 dB at 20 Hz, and did not show any obvious signs of distress. I've just been using the ubiquitous Sennheiser 560s instead for now, which isn't quite as nice even with EQ, but its also less likely to suffer anything more than just elevated distortion with EQ due to it being a dynamic. Volume is spirited, but not excessive. Maybe the equivalent of 75-80 dBA on speakers.
With respect to planars, I do wonder if there are any long-term stability issues, even with ones that are already compliant. I would assume with the higher end ones like those from DCA that they have done some form of life testing during development to ensure their characteristics don't drift over time, not to mention having better QC.