Until thumb drives became large enough to fit most datasets it stopped becoming Big Data. Just normal data.
To some degree IMO big data is still a mindset when it might take a day to process your data in a normal SQL query. Some tech doesn't scale to the data size for all use cases, and you need different solutions.
We have thumb drives that can store petabytes of data?
Or did you mean the "big data" crowd which thought 500GB was noteworthy? I don't think anyone took those serious, neither in 2010s nor now. That was always "small" data