The tire itself is "too" soft. The tire sits up on the tread blocks but when lateral force is first applied the tread blocks give side to side.
This is very common on all season or cheaply made performance tires.
The only way to help alleviate some of this problem is to increase the air pressure.
Any type of moderate performance or above series tire will require significantly more air pressure then the "standard norm" or "OEM recommendations" The 28-32 psi range (i.e. OEM) should be relegated to Le Sofa cruisers that always feel squishy and floaty.
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Of course that takes "as a given" the tires have been properly balanced and the suspension has been checked.
