Good question, and a good discussion.
Forgive me while I chase a bit of a bunny trail to answer.
So what does light have to do with helping a hen lay? Do seasons matter?
Yes. Actually quite a lot. But there is also more to the equation, as posters have noted.
Physiologically, most modern hens need 12 hours of light for the pituitary gland to receive enough stimulation to produce hormones (FSH) that stimulate the ovaries and thus laying. Steady laying usually requires 14 hours of light. (See article from University of Maine below...a state keen on understanding lighting in poultry).
New pullets coming into lay for the first time are especially sensitive to this process. Older hens may skew with the molt season, but tend to hold pretty true.
So one flock lays in winter while another doesn't? Some new pullets lay the first winter others don't. What gives?
It usually is the differences in climates, locations, general environmental stresses, and most importantly the genetics within breed lines.
Commercially bred breeds and hybrids have been carefully selected over generations to perform well. Those hens usually will start to lay even in early winter if there is enough ambient light because they have been selected for production. Their sensitive pituitaries can function on lower light levels.
Kiki...you are in Texas (hope you are finally dry and safe). Parront...you are in north-central Arizona (a shout out...I used to live in Ajo as a child), about the same latitude as LA. Kiki, you are quite a bit lower. You two will see a difference naturally due to your latitudes and the length of light you receive year round.
I am in northern Oregon. Even when we get sunshine at my more northern latitude, it is behind the clouds. Most of my days are subdued grey. (We all laughed during the eclipse at 99% totality...oh look...a normal Oregon winter.)
Those in more northern latitudes receive shorter days than those lower. Those in dryer climates will get longer stretches of sunshine. Tropical climates have birds that pretty much lay and nest all year around. (Cats are the same way. A lot of our rescue kitties come from Hawaii as the mating season is so long there.)
Then of course varying degrees of nutrition, flock stress, general environment, overall health. All of these things will impact laying overall and how soon a new hen will lay.
But most importantly, I can almost guarantee that no living chicken today in America has not been impacted genetically by the commercial growing industry which selects carefully for production. (That's why it is hard to find a good broody in most modern breeds.)
So yes, overall it is true, lighting and seasons do impact poultry significantly. However, there are a lot of other variables too.
LofMc
https://extension.umaine.edu/publications/2227e/