No - this won't be the case as LP colour cast removal measures the colour cast of the background areas and subtracts this uniformly over the whole image. The original colour of the stars will be preserved - as long as the stars are themselves not over exposed. OK the brightest stars in your image will be overexposed but the majority will not.

Actually you are right. Preserving star colour is a skill that has to be learnt - it is usually best done in photoshop. In fact I'm currently writing my own PS plugin to manage star colour preservation