Uh, where would you store it though? IIRC from the time a relative was going through a chemistry PHD, they produced several GBs of raw data every half hour. Storage is cheap but it's not that cheap...
It's not that much data. You're storing about 2M voxel image every 2s or so. There are open repositories out there already: https://openfmri.org/
But how expensive was the lab and the instruments that produce that amount of data?
Not to mention the researchers' and post-docs' and students' time. By not paying to store it, you're risking the possibility that all of this money is essentially flushed down the toilet by a software bug because it cannot now be reanalyzed.
Think of the flipside: by paying to store it you are paying to run the risk that your research will be invalidated.
Whilst the incentives are all wrong in this situation, that's a good thing, right?
Even storing - and making accessible - a fraction of it would be a drastic improvement over the current status quo.