> Only if you want the species to survive
Paradoxically, "survival" assumes adapting to ever-changing circumstances, which means that homo sapiens, given enough time, is bound to evolve into one or multiple new species given enough time. Regardless of that happening elsewhere or on Earth.
Arguably, a species is just a mode of survival for a genome; a convenient vessel through time as the genome reproduces. The language we use is, ultimately, a social construct, but biological speaking by and large inconsequential in so far that language is a trait that fosters survival. Evolution isn't opinionated, it just 'is'.
The fate of the Neanderthal people feels apt here. While the species is extinct, our Sapiens genome still caries 1-4% of Neanderthal genes to date. Some of that influences traits in modern humans, some of that just doesn't. (Evolution is messy, in that regard) Now, maybe Neanderthals wondered - just like us today - what would become of them aeons in the future. Little did they know that we, Sapiens, are distant relatives to them.
In the same vain, our written record and collective memories spanning no longer then a few millennia, distant relatives in the far future may look back at our detritus in the soil and in their genes and maybe wonder the exact same thing.
Maybe the Great Filter isn't some civilization destroying event. Maybe it's just evolution. Maybe become a space-faring species might be the biggest mistake we could make. I think more then a few sci-fi authors coined the notion of the arrival of malevolent alien species in a distant future which turned out to be our distant relatives from space-faring humans who left Earth eons ago. Of course, that's just speculation. But there's some poetic food for thought there, it's a probability one can't readily exclude.