The 200-300GW of capacity should translate to 200-600TWh/year of generated energy. That's a 5-10% growth of yearly generated renewable energy. If we can keep it at 5% yoy, it will take 112 years to replace that total energy consumption. At 10% it would take about 60 years.
I don't think it would be smart to bet on a linear-only growth. If course, a 100+ year exponential growth might be too optimistic. But I think we did not see the end of the hocky stick so far.
We also need to consider that we're talking about a global infrastructure project, so timescales of centuries are to be expected. Whoever thinks we could replace our global energy consumption completely within a couple of decades needs to reconsider.