Should I paint bedroom doors

I was thinking to do a color drenched look for our bedroom (sans ceiling), and plan on painting the baseboards and the crown molding (just installed) the same color as the walls in a semi-gloss.

Initially I was thinking to also paint our doors (entrance and closet) but now I’m not so sure.

Would it look very strange to keep the doors white when the baseboard and frame is painted green, or should I just commit to my initial vision and paint the doors as well.

In case is matters: our bed frame and bedding is an off white/cream and I will add a rug soon once I find the right one.