nothing about this situation is causing anonymity to cease to be possible on the internet. It just makes it more difficult on a single video-sharing site, one run by a single for-profit company.

Freedom of choice has never before been more relevant. You as an individual in a free web (which Google advocates for strongly) have the choice to move to any number of other platforms if you prefer anonymity while sharing/viewing videos online. If enough people believe in anonymity, traffic and users will migrate to another site, and Google/YT will become less relevant and/or be forced to policy backtrack.

Whether you are for or against the new commenting policy, we should all try not to exaggerate what it means for society at large.