LTC2057HV Op Amp Guard Ring: Should Both Ground Pins Connect to Power Supply Ground?

Hi,
I'm using some Linear LTC2057HV op amps in a project and want to minimize leakage currents. The datasheet suggests putting a pcb guard ring linking one of the ground pins and the inverting input in an interesting manner. I'll attach a picture and the full datasheet.
My question is, should I also connect the ground pins directly to the ground of my dual rail power supply, or does that defeat the purpose of linking one to the inverting input in the first place? In which case, should I simply leave the second ground pin floating?
Since I'm using these as non inverting amplifiers, I would generally connect the ground pin directly to my power supply ground, but since I'm trying to get as little offset voltage as possible from these, I'm wondering if this alternative is better or would work at all before I prototype it.
Any guidance you have would be greatly appreciated.
Best,Mike

Nevermind. I realized the “grd” pins are in fact designated just for the purpose of the guard ring. They don’t ground the amp.

In the non inverting mode, if you are operating the input over a wide input voltage range, be aware that the offset voltage will change with input voltage (graphs at the foot of page 8), this is on top of  the fixed offset, which can be compensated for, and temperature induced offset(which is very low anyway). Depending on your circuit arrangement, and the resistor values, input bias current may induce further offset voltage, the graphs are on the middle of page 9.Without saying what offset voltage you can tolerate, hard to enlarge on my comments further,cheers,Richard