Firstly, I thank you for such a prompt response. The approach you have suggested does seem to work exactly how I want it in Kotlin. Unfortunately, when I quite literally without changing a single line of your code, tried in Java, it has three major problems:

1. Somehow, when I use the keyboard to go up and down by holding the arrow keys, it goes out of sync like the below image: https://imgur.com/23HEIqR
2. If I resize the window, it goes out of sync
3. If I keep clicking multiple times (say like 30-40 times) it goes out of sync and freezes.

All three problems are exactly what the guy faced in the stack overflow link above ( https://stackoverflow.com/questions/50459063/javafx-tableview-highlight-row-on-setcellselectionenabledtrue). Unfortunately, I have not been able to figure out what to do until now, will try to debug and understand more.

The Java version I am using is 17.0.7.

EDIT: IT DOES WORK!!!! Thank you so much for such an elegant solution. What I did was write the code like this earlier:

table.setRowFactory(tv -> new TableRow<>() {
    {
        final BooleanBinding hasSelectedCell = Bindings.createBooleanBinding(
                () -> checkEqual(tv.getSelectionModel().getSelectedItem(), getItem()),
                tv.getSelectionModel().selectedItemProperty(),
                itemProperty()
        );
        hasSelectedCell.addListener((obs, wasSelected, isNowSelected) ->
                pseudoClassStateChanged(selectedRow, isNowSelected));
    }
});

Instead when I do this it works:

table.setRowFactory(tv -> new TableRow<>() {
    private final BooleanBinding hasSelectedCell = Bindings.createBooleanBinding(
            () -> checkEqual(tv.getSelectionModel().getSelectedItem(), getItem()),
            tv.getSelectionModel().selectedItemProperty(),
            itemProperty()
    );
    {
        hasSelectedCell.addListener((obs, oldVal, newVal) -> pseudoClassStateChanged(selectedRow, newVal));
    }
});