Striping and restaining is absolutely NOT restoration in any sense, as nothing is being restored, it's being subbed out.
When an Old Master is undergoing restoration, structural repairs are made to the painting's support, the surface is carefully cleaned to remove accumulated grime, old "restorations" may be removed because they went overboard with the painting or did it badly, and damaged areas are patched and then overpainted as minimally as possible to minimize the damage. The overpainting is separated from the original paint by a barrier so that it doesn't affect the original and can be removed at a later date if necessary, without harming the original. Restoration renews the original. It doesn't replace it.
A total restaining isn't renewing the original, it's replacing it. So, no, re-staining is not restoration, unless done in damaged areas to renew the existing stain, or in the case of a topped rim, to re-stain to match the original finish.