You've got it backwards. Low rolling resistance tires are harder.
"Primary methods of reducing a tire’s rolling resistance include a harder tread compound, stiffer sidewalls, narrower tread width, different tread design and less tread depth".
https://www.cars.com/articles/what-are-low-rolling-resistance-tires-444766/
The article doesn't say what the credentials the author, Rick Cotta, has. You can find mine by following the link to my website.
Nor does it say who he may have talked to in preparing the article, but he has repeated a commonly held misconception. I'll try to explain why this misconception is wrong - but first the obligatory: I am not a Rubber Chemist, but I have worked along side some talented ones, and I've picked up a few things by doing so.
First, the rubber in a tire is not as stiff as the steel and fabric is. But even more interesting is that the stiffness of a tire is mostly about inflation pressure. So it doesn't matter how stiff (or hard) the tread rubber compound is, the dominating factor to deflection is the inflation pressure.
I know, it seems counterintuitive that a stiffer tread compound has little effect on rolling resistance, but when you factor in how little the stiffness of rubber has compared to the inflation pressure, it starts to make sense.
What that means is that even the stiffest tread rubber compound has minimal effect on the deflection - and by extension, the rolling resistance. What does have an effect is what is called hysteresis. One way to look at hysteresis is that it is "internal friction". So think about bending a stiff piece of rubber versus a soft piece of rubber the same amount: Which would consume the most energy? The stiff one, because the very thing that makes it stiff, also causes more internal friction.
So if a rubber compound that is soft has less internal friction than a stiff rubber compound , why are grippy tires soft? Or why aren't low rolling resistant tread compounds, which are also soft, not grippy?
It has to do with tear resistance.
A soft tread rubber compound penetrates the macrotexture of the pavement, but in order to get more grip, the rubber has to have a higher tear strength - which low RR compounds do not.
So there is a 3 way triangle between RR, traction, and treadwear. Good treadwear compounds are stiffer and do not penetrate the macrotexture of the pavement as much, so they wear better. Rubber compounds with good hysteresis are soft and penetrate the macrotexture, but take less force to tear off, so they have less grip. Rubber compounds with good grip have good tear strength and are soft so they penetrate the macrotexture of the pavement.
I hope that explains things.