Nope. Pixel HDR only controls highlights. It crushes the shadows into blackness...and it does not help that it is also high in contrast. So, regular photos often come out dark and dreary. Google HDR does NOT lift shadows at all...it does NOT do long exposure on every picture that it takes. Google only does long exposure on their Night Sight mode...and with that mode, it does extreme long exposure (4-6 seconds) along with AI to compensate for handshake.
Smart HDR does long exposure on every picture that it takes...thus able to lift shadows. Of course, the long exposure of Smart HDR is not nearly as long as Night Sight but it helps greatly in regular photos. And Smart HDR really brighten’s shadows if it detects person/face in picture.