Wing Loading / climb rate

My curiosity has been about the effect of just gross weight vs. wing loading on the

For example, let's stipulate a thermal providing a vertical force ( I avoid using newtons as the SI unit for force. I've never managed to get comfortable with it.) that would provide +5 kt lift to a glider with a gross weight of 800 lbs and a wing loading of 10 lbs / sqft.. I'm just making this stuff up. I am not trying to be realistic!

Now let's invent another glider with a wing loading of just 5 lbs / sqft. but with the same gross weight as the first glider.

Would the second glider, with a wing loading of just 5 lbs / sqft, get a better climb rate than the first glider since it appears it would need only half the lifting force per square foot of wing than would the first glider?