Yeah no. That's the logic of someone who is telling you that rain has always been a part of nature and that you should embrace rather than fight it - while they are stealing the tiles from your roof.
What I mean is, on the one hand, you're correct: Loss in some sense is the default state of the universe, there will always be loss and there are far worse things than losing some stuff on the internet.
On the other hand, it feels hypocritical to talk this way about instances of loss that we have control over. The current mass extinction is not simply some natural event that came over is and that we have to accept like Tolkien's Long Goodbye. It's a decidedly unnatural event that we know the causes of very well.
In a similar way, the loss of information on the internet is not "natural" either, it's the result of deliberate business decisions that come from a specific trend of monetization.