[mps9506]

I don't think either diagram is entirely correct. You will need a ball valve in the one inch plumbing between where the inlet and outlet connect to the closed loop plumbing. This will direct some wate to the chiller.
It is preferable to have your chiller on it's own small pump connected to the sump so you know how much water is going through the chiller. In the scenario you have drawn up (both), you do not know how much water is going through the chiller unless it has a flow meter built in.
The other plumbing method I recomend is to place the chiller on a T coming from your sump return line and have the outlet of the chiller dump back into the sump. Put a ball valve after the T between the sump and tank and that will divert water through the chiller.