another PF SB push any 2 question...

[proell]

blinds 150/300
Button (2400)
Hero (2425)
BB (2030)
UTG (1145)

Hero is dealt (6h,5c)
folds to Hero in SB

Is this automatic given BB's range is going to be top 15% at the loosest?... probably more like top 8%.

It's funny because I probably wouldn't hesitate to push A4o, but when I see 56o I instinctively want to muck. In reality though my EV is probably not much different between the two.

So, is this automatic?