The span of human existence is marked by an ever increasing derivative in the rate of change. That said, barring cataclysm, I tend to think we've gotten much better (perhaps too much so) at recording things; I doubt our current era will be forgotten so much as categorized and filed away.
The "particular recording weaknesses" of the past were air, fire, and invaders. All still exist, but our recordings are generally more proofed against them than in the past. I tend to think that at a societal level, data preservation is on such a serious upward trajectory that categorization in order to begin to find meaning will be the greater challenge for future anthropologists.
Lots of data will also be lost to encryption - still stored on some tape, but with no one alive to remember who may have owned the keys, where they may be stored, and what formats everything is.
I would bet that a vast amount of the data stored today in S3 that will never be read again - either because it will be forgotten or actually deleted by Amazon (people stop paying their bills, companies go bankrupt).
Not to mention, we already know of things like the source code of 10-20 year old games that people still play having been entirely lost.
Those weren't intended to be kept around, but fires happen in cities, whether from a sacking or just back luck, and sometimes this would be hot enough to fire the clay.
In conclusion, the future will have just an enormous amount of coroplast political signs to fish out of landfills and decode, along with the ingredients on aluminium cans.
Another fun glimpse: It has been speculated, based on evidence in the Uluburun shipwreck, that some bronze age societies used a wooden book-like object with wax or clay faces as an easily erasable notepad. Whoever owned that may have thought about it the same way we think about electronic records blinking out. Or maybe they didn't think about the future at all.
Our civilization may well continue and prosper for a thousand years more, but unless we care about being remembered, they will have no idea what Pink Floyd, or Harry Potter, or A Hundred Years of Solitude, or an iPhone, or Linux, or anything else you consider important of our time were/was. Just like we have almost no idea about the pop culture or songs of people living in, say, the area of Berlin in the year 1022 was.
We can listen to the music of Hildegard of Bingen, who lived a little after that time in another part of Germany. It's not folk music, sure, but that's still pretty cool.
This seems to be like end of Ottonian Renaissance. So maybe someone like Hermann of Reichenau?
What if it’s about remembering rather than being remembered? There are some good lessons in past events.
Given the choice, would you rather your civilization be understood to people in the future, or would you leave as little as possible behind and leave future historians with only guesses?
> we should try to not vanish
If this civilization survives for the next few thousand years, the work of the preservationists will end up in a museum to early Earth civilization. If not, then the preserved work will end up in a museum to early Earth civilization, but run by aliens or something.
The need to be remembered is more of a philosophical argument, but I think it's just part of the human condition. It's why we pass our names to our children, why we tell stories. Thousands of years after the fact, almost everyone on the planet knows the names of at least some of the great conquerors of antiquity. Just about anyone you meet could probably tell you at least one story about Alexander the Great, or Genghis Khan, or Julius Caesar.
As a wildly successful civilization, the need to be remembered for that success is strong. Maybe just for vanity, but maybe future generations can learn from our stories as well. If our civilization does fall and we are not remembered, what happens next? Would we have another Dark Age? If the remnants of our civilization can still use the knowledge we've accumulated, would that help them rebuild?
It's really an unknowable question. The only thing we can be sure about is that it costs us relatively very, very little to preserve our records. If that effort is wasted, then so be it, but not putting in the effort would probably be bad in almost all situations, depending on your perspective.
"We"'ve been through exactly as much history as Ur. History didn't begin in year 1 CE.
Even if you mean "Western civilization's heritage", that stretches back checks Wikipedia 5000 years through still-occupied Athens. "We" beat Ur handily.
That city went from the equivalent of the year 0 to the year 3300. Us here in the common era are barely halfway through the life of that city, and look at just how much history we’ve been through. Their history will have been much, much longer, with far more generations of people, but it’s all forgotten, to the point that to us it barely registers.