I accept your last sentence. However, I have been finding difficulty in constructing any kind of intellectual representation of this event.I think there is a conceptal issue here....you don't "notice" curved space you notice the change in gravity that causes the change to the curve in space which a gravitational wave engenders.
Collapsing orbiting black holes managed to dispose of 3 solar masses in a very short time with an incredible amount of accompanying sturm und drang as Einsteins equation of mass and energy was demonstrated.....the result of that was a sudden change in gravity.....if you were outside the blast and radiation zone ....I doubt very much you would "notice" a gravitational wave of exceedingly short duration moving at the speed of light.
Consider: the arms of LIGO were squeezed by a length equivalent to a fraction of the diameter of a proton. We didn't notice this (by normal unaided sense organs). Was that simply because the effect was so small on account of the great distance from the event? If so, what would be the case if we were so close that the LIGO arms were squeezed by a hundred metres? If a pulse of energy were to squeeze the Channel Tunnel by a similar fraction of its length, that would be very ńoticeable, even if it happened in a tiny instant of time. If we were closer, would such catastrophic disruption be caused, or would the wave pass through us leaving us unscathed?