The visual difference between SSJ Vegeta and SSJ2 Vegeta is mostly the occasional lightning anyway. His hair is practically identical. Same with Goku when he's going through his forms against Fat Buu or when he and Vegeta turn SSJ2 right before they fight in the Buu Saga. The only one that really had some noticeable hair change was Gohan.
We wont know the name of this new form until Toriyama names it. For all we know it's Super Saiyan Penis God.