First of all, one wire would do instead of two. I leave it to you to figure out why.
It's pretty much 6 of one, half a dozen of the other.
The way you had it before, you had two sets of (two batteries in serial) in parallel. With one blue wire, you'll instead have two sets of (two batteries in parallel) in series.
The voltage and current will be exactly the same, if that's what you're wondering about.
However, this does raise some interesting questions as to what effect this would have if the batteries have unequal charge or discharge rates. Unfortunately, I don't know enough about how batteries work to even speculate what that effect would be.