Not just designed not to provide current, in general they simply can't. They follow the phase from the mains (the sine curve of voltage and current), without the mains there isn't a phase to follow and they simply can't output anything
This was a contributing factor in the Spain blackout, because even large-scale solar and wind plants were using the same type of simple inverters
> contributing factor in the Spain
Not really, the full report refuted this. Issue in Spain was much more nuanced. Mostly related to lax voltage controls and outdated and slow control mechanisms at the grid, high voltage net.
To be fair all large scale generators are designed to stop when suddenly 8GW of capacity goes missing.