Can I install Google Edition Android on an HTC One X+?
A ROM for the HTC One won't work on the HTC One X+. Despite the name similarity, they're completely different phones, with different hardware inside. (The HTC One X+ has a Tegra 3 SoC, while the HTC One has a Snapdragon.)

If you want to install a "stock Android" ROM on this phone, you'll have to find one first, and as there isn't a Google Play Edition for the One X+, this is very unlikely to exist. You might be best with a custom ROM that doesn't have many customizations. Generally, custom ROMs don't update over the air: you need to reflash whenever you want to upgrade to the latest version.