To further elaborate on the AI-9500F, information is scarce but I've found a dry-weight figure of 1060kg at 9500kg thrust. This means a TWR of 8.96 which is better than the M88 and almost reaching EJ200/F414 level.
The AI-322F has a TWR of 7.5 at 560kg and 4200kg thrust, but the AI-322-30F has 4900kg of thrust. Dry-weight is not available though but if it weighs the same, then it has a TWR of 8.75. If it weighs a bit heavier at 600kg then the TWR is still above 8.
Motor-Sich planned to use the AI-9500F as a platform to develop a 15 tonne afterburning turbofan engine for China back in 2009:
To me it seems they could replicate this plan for the TF-X.
The AI-322F has a TWR of 7.5 at 560kg and 4200kg thrust, but the AI-322-30F has 4900kg of thrust. Dry-weight is not available though but if it weighs the same, then it has a TWR of 8.75. If it weighs a bit heavier at 600kg then the TWR is still above 8.
Motor-Sich planned to use the AI-9500F as a platform to develop a 15 tonne afterburning turbofan engine for China back in 2009:
To me it seems they could replicate this plan for the TF-X.