I'm the outlier here... I've actually requested (successfully) to have my middle initial removed from an account. 
Granted, my name does have a suffix so there's plenty there without the initial.
On topic, the probable mismatch was likely the reason I was prompted to call for my own Blispay approval... the very friendly CSR had me confirm a few accounts from my credit report then approved me on the spot.
@Anonymous wrote:
Does it matter? I have a few cards that don't have my middle initial on it. If you are concerned I bet they would add if and send a new card. If they charge just have them add it for "next time" and then request a lost card replacement in a month or two.
Not concerned, just a preference. Guess I'm kind of OCD. 
@Anonymous wrote:If I were the OP, I'd be more concerned with the fact that Blispay may not be able to "verify identiy" which is one of the #1 reasons for denial for this card. It can be something as minor as an incorrect name... so if they're verifying with/without a middle initial it could pose a potential problem.
I had to call them to verify my identify. About an hour and a half later, I received a "You're in! Welcome to Blispay." email. Approved with a 10k limit! 
@kevinjjc wrote:I had to call them to verify my identify. About an hour and a half later, I received a "You're in! Welcome to Blispay." email. Approved with a 10k limit!
Sweet! Congratulations and a very nice limit to boot!