Plugins to hide WordPress footprints are commonly suggested when people want to have all-WordPress PBN but not have it seen as such.
Plugins like HideMyWP or HideWP do not do that. They do it on a lesser level and as such still leave obvious footprints that the website is WordPress. Two examples of those footprints are directly pingable files xmlrpc.php and wp-cron.php (in root).
Beside that there is another issue, specifically with Hide My WP – server footprints changer. In one case one of our users chose Microsoft IIS as server footprint. The plugin then created system layouts that resemble that server setup. However the server is still easily identifiable as Linux through server headers which makes the whole setup look ridiculous (you can’t run Microsoft IIS on Linux).
Our recommendation: if you want to randomize the backlinks to your sites, build a few Web2.0s instead. Or you can use plain site builders and upload them to a few shared hosts. Here are a few of them (PHP, no MySQL): HTMLy, Pico, Stacey, FlatPress, Razor CMS, GetSimple CMS, PivotX.
As for WordPress, keep it simple and plain as much as possible.