Traits synergy: Strenght of the Sun and Student of Philosophy / Clever Wordplay

[Trish Megistos]

Since clever wordplay replaces one CHA based skill with INT as its modifier, does the +1 tp CHA based skills still apply to it? Similarly with Student of Philosophy for convincing someone/lying.

Or in other words. Do they still count as CHA based checks?

[GM Tyrant Princess]

They do not.

[Trish Megistos]

Alright, thanks.