Sure, but we can and do still routinely talk about reference frames other than those on earth. Your pedantry isn’t warranted, and rather comes across as needlessly condescending.
But really the more important thing here is that such translation is quite pointless... it doesn't tell us anything meaningful. Talking about relative time only becomes meaningful when you're talking about round-trip communication, and there the meaningful part is the complete round trip, and not what moment here corresponds to a moment there.