In other words, the recipes are likely to be archived, not removed.

Existing content is not being destroyed.

Removing the recipes entirely (as opposed to shifting them to the commercial BBC Good Food website, or making them available via an archive) when the cost of making them widely available in perpetuity is likely negligible, would indeed be outrageous and draw widespread condemnation.

That is not what is currently being proposed, however.

Even in the worst case scenario, they will certainly be archived and made available unofficially.

The line going around is that recipes from new shows would be available for 30 days only, so I assume after the 30 days are up they would become unavailable.