People were already talking about Big Data in the 90s. If you send this idea back in time to 2005, people wouldn't be stunned by the revolutionary innovations it would unlock. They would say, "oh, someone else on the Big Data hype train."
Also you could blow their minds with a 24 TB HDD. It's as nuts as telling a 2024 person about a 1 PB HDD in a regular PC.
Also in 2005 IIRC we were still expecting to eventually hit 10GHz/core, but my recollection is hazy that dream might have been quashed by then. The point is, the wild overestimates of techno-progress aren't anything new.
We knew big data was important. There was a lot of hype around how big data will become more and more important in the future.
An email from someone in 2024 saying "hey big data is important!" wouldn't have led to innovations which weren't already happening. It would have been seen as cringe, like is this the best the future can come up with?