Comb size has nothing to do with laying. Nothing. Comb size is purely genetics. Here is another thread about this pullet.She looks healthy enough.
And yes, i'm pretty sure comb size/colour is related to the egg-laying hormones.
https://www.backyardchickens.com/th...nd-not-sure-what-breed.1650226/#post-28335242
When a pullet or hen is laying her comb and wattles typically turn bright red. If she is not laying they are usually pale pink or even yellowish. The bright red comb and wattles are the rooster's sign that he is laying and her eggs need to be fertilized. Many roosters don't have much interest in mating a hen with a pale comb.
That comb looks relatively red. If she is not laying she may be close. Have you checked the vent? If a hen or pullet is laying or close to laying her vent is pink, moist, and large. If she is not laying the vent should be dry and tight. If you can compare a few the difference is obvious.