We did this! With GWTC-5.0 we can now measure this parameter that describes how much the memory contributes to the gravitational wave signal (which should be 1 if the universe is exactly described by GR) to 0.26, -4.08 or +4.09. Only a few more thousand events to go!
But who knows! Maybe if we rerun our analysis on the recently-released GWTC-5.0 we'll see more promise... Anyways, I've tried to keep this discussion short, but if you want to learn more or if you have any questions, check out the paper on arXiv or feel free to ask me here!