Thank you for your response.
In order to further explore that modal/tonal subject, I'd like to ask you a question.
If I add some tune to that chord progression and use for that purpose the Lydian Mode, would my chord progression become Modal?
I don't think so as the chord progression has to scream Lydian mode. Like in our case our tonal center is clearly Cmaj and if you throw a F# in the melody over those same chords, it is more akind of an accidential to make it sound good or if it always happen over a specific chord we could analyse it differently.
I guess that this chord progression works like we are all used to provided by a rythm guitar player which doesn't offer much possibility to make it very interesting IMO.
Like take this chord progression in a 4 part harmony, you'll have all kind of interesting harmonic movement inside those chord, that will lead to one or another through early and late note, grace note and other things like that. And so we could find acciential that would suggest another tonality or mode.