Is this the Pro-SRZ V2?
No. This is the original Pro-SRZ, model WB57118. Its listed construction uses a sheepskin palm and vented knit backhand; the V2 is a separate listing.
Will the back of the glove stretch as I grip the bat?
The lightweight knit backhand allows movement, while vented holes help with airflow across the hand.
How snug should these fit?
Your fingers should reach the ends without being squeezed, and the palm should sit flat when you grip a bat. Loose material around the handle usually means the fit is too large.