The obstacles of biological minds that are the reasons why old minds are so useless wouldn't exist though. The only reason why that happens anyways is some of several causes, all of which wouldn't exist if we go beyond flesh. Space: the human brain is roughly 4tb (forgot source, I'm sure a quick google will bring one up). As machines, that'd be completely upgradable, and not a problem. Really, the only viable second detriment is diseases like Schizophrenia. The human mind is naturally imperfect. If a HUMAN were immortal, they'd go mad. Get some terrible OCD, whatever. Living eternal life wouldn't drive a conscious robot mad. At this point though, the question isn't really "would this work?" but instead it's "Is this still us then? Are we still 'humans'?"