What if the Final 3 Could Vote to Hold FTC at Final 3 or Final 2? How does this potentially change previous seasons?

Posted a comment about this in reference to Parvati running out of times to vote out all her targets in HvV, and thought it was a fun hypothetical.

Essentially, after the Final 4 vote/FMC concludes, immediately the three remaining contestants are allowed to choose if they want to go to the Final Tribal Council immediately, or compete for immunity at the F3 and a chance to vote out one of your rivals.

I figured there are at least a few interesting situations where a front runner may have to stave off one more elimination, or maybe two people are confident in their chances and lock in the FTC.

An interesting situation could be SoPa, do Coach and Sophie both feel confident in their winning chances? Or do they aim to take the other out in the FIC?