Expectation-setting reply, if you can achieve framerate=Hz:
Blur Improvement Expectation
Theoretical perfect is ~1.5x strobeless blur reduction (perfect GtG 0ms) by Blur Busters Law mathematics.
360Hz-over-240Hz strobeless blur reduction is about ~1.1x with 1000Hz mouse (mouse limitation + GtG limitation)
360Hz-over-240Hz strobeless blur reduction is about ~1.3x with 8000Hz mouse set to at least 2000Hz+ (GtG limitation only)
Mouse jitter is a known subtle motionblur contributor at >240Hz; high-frequency jitter blends to blur just like fast-vibrating guitar string.
Stroboscopic Improvement Expectation
Your stroboscopic stepping effect of 360fps 360Hz will be about one-third shorter (2/3rd as much gapping) relative to 240Hz.
Your GtG will be slightly slower on 360Hz IPS than 240Hz TN, so the extra framerate makes up somewhat, plus the blur is slightly asymmetric on leading/trailing edge (LCD behavior), not everyone likes that. However, 360fps@360Hz IPS nonstrobed is still less motion blur than 240fps@240Hz TN nonstrobed. Though it is ultra-minor if you don't upgrade your mouse to take advantage of 360Hz.