Here's the deal: grippier tires will increase lateral G/speed in corners, but also impart increased loads to the suspension & chassis.
Having the articulating bits firmly located allows those loads to be consistently applied, as in predictable/repeatable handling.
How far the OP wants to take this will dictate the extent of improvement, of course.
But I can offer an example from back in my vintage T/A days:
We restored a privateer Mustang, which had retained a fair amount of rubber bushings.
We also restored the ex-Penske/RWR #1 Javelin, which didn't.
Same race tires, wheels, similar weights and such.
The Mustang was a bit of a pig by comparison, not as predictable/repeatable as the Javelin.