Short answer, nope.
Living, growing games like MMOs may warrant occasional revisits to see what has changed, but the state the game was in post-server issues should be the original review.
As far as games like Unity? I feel like amending a review or making a new one only lets Ubisoft (or whoever it may be) off the hook for making a broken piece of shit gold/review copy, and would perpetuate a collective gamer acceptance that a game can be unacceptable shit to be addressed later because patches.
That, and not everyone has the internet, at all. My wife's cousin is a strange case, he owns a PS4 and over a dozen games for it, but has no internet access at all. His phone doesn't even get 3G where he lives, and his gaming information comes from print magazines. His 1.0 copy of The Evil Within was this 15-20 fps 10 second to stream textures that was below 1080p. He didn't like the game because it felt like shit, when a big day one patch bumped the resolution to 1080 and brought the framerates to at least the next door neighbor of 30. In that case, reviewers had the day-one patch, but this isn't something that should be acceptable just because 60-70% or whatever of people are able to download patches.
If you decided a semi-broken pile of ass was worthy of being gold and more than half the bugs were considered shippable, that's the game you've presented to the gaming public on the release date that was scheduled long in advance, after the publisher asked for the payment in advance, and has $30-40 worth of DLC they'd like you to purchase in advance, available when and if the fucking thing is actually out of beta after the release date (granted this doesn't apply to all AAA, but it did for Unity). If we're talking about Unity in particular, I'm glad that the gaming media stepped up and crucified it for its unacceptable state of release on all platforms.