So we might run out of olivine at some point, but it's going to be a long time.
I'm moderately interested in how much hydrogen we could burn without noticeably adding to sea-level rise. Probably quite a bit.
The entire history of industrial civilization has added 140 parts per million of CO2 to the atmosphere. For CO2, that's too much. But Oxygen is 21% of the atmosphere, or 210,000 parts per million. I think we'll be ok for a while.
Sure, but they DO reduce the level over time and they also grow faster with the higher concentration. The CO increase is less than all the CO2 we've produced with industry.
It's not ok to say there is 21 percent oxygen and this proposed process won't put a dent in it. One might have thought that about burning hydrocarbons. The question of how long can we "burn rocks" still stands. Is it 10k years or 10M or something else?
Unfortunately, insects and fungi are just as good at eating plant matter and exhaling the CO₂ back again (aided somewhat by fires) so it goes right back in to the air again.
Electrolyzing water with wind/solar/nuclear would seem to result in far fewer steps that could go wrong.
This means it can be extracted 'for free' like natural gas and is naturally continually renewed.