If their frequency response is same, all transducers move same amount of air(in their own given areas) That impact is just a result of the tuning. Dynamic/Planar headphones usually do not have the treble extension of estats and lack of treble shifts spectral balance towards mids and bass hence we are hearing more information in bass frequencies with such transducers. Flat bass response with elevated treble & mids response doesn't sound same to our ears as flat bass response with recessed mids and treble. The latter would sound more impactful and *dynamic*
Again, if the frequency response of both transducers are same(regardless of their type) they are moving at the same speed in every frequency. If one moves faster while responding to an 11khz signal, that transducer would produce a different frequency. If 2 different(say planar and electrostatic) transducers have flat 11khz response, they all move at the same speed at 11khz. Speed and frequency are tied to each other. If a driver can't accelerate in a certain frequency range, it'd appear as a cancellation area(a dip) in the given frequency range. If it decays faster than it should, It'd appear as a peak in that given frequency range. In conclusion, We can see the time domain information from frequency response too.(Frequency response is actually produced through applying fourier transform to impulse response). Since phase isn't an issue for headphones, time domain = frequency response.
Super thin membranes just help with better treble extension. If a diaphragm has low enough mass, the stiffness of the air surrounding the diaphragm is enough to acoustically dampen the driver. As a result, in higher frequencies, the stiffness of the air surrounding the diaphragm makes the diaphragm behave better and reproduce all those signals with least amount of cancellations and peaks in the frequency domain(ideally). However, if a diaphragm is super thin then that diaphragm would be plagued by its own resonance frequency resulting non linearities in bass or potentially in other parts of the audible band. Headphone designers are continuously attempting to find a sweet spot where the treble extension, bass response and linearity are technically perfect.
Then why do I feel like one transducer moves faster than the other? you might ask. It's the better treble extension. When we hear sounds that happen with higher frequencies more, when our brain isn't struggling to fill the information that is missing in high frequencies(that may happen due to cancellations, peaks in that frequency range), we experience it as a *faster* sound. (same goes for mids too)
Get 009S, tune it with 128 band EQ to the same frequency response target of Audeze LCD4, they'll be as impactful as them. I've tried this with many headphones using oratory's measurements and having the target headphone next to me. The results are mind blowing.