I would say it's false.
Here are my results from a 2008 female pastel that I started breeding in late 2010:
In late 2010 she was a virgin right at 1200g when I began pairing, she laid her first clutch of 5 eggs in 2011. She got back up to size and I began pairing again in late 2011, laid a clutch of 7 eggs in 2012. She got back up to size and I began pairing again in late 2012, dropped a clutch of 6 eggs in 2013. She did not add additional size between the 2012 and 2013 seasons so I figured she was pretty much maxed out at ~1800g and would hence forth be a 6-7 clutch layer for me. Then this season(2013/2014) she really exploded in size and is now over 3000g and building. Even though this girl has been bred and laid 100% perfect clutches(no slugs, no reabsorbs) every year since she was 1200g she has continued to grow and, for at least for 2 out of 3 seasons, put on additional size in the off season. I'm expecting this next clutch to be her largest yet and will update when they're on the ground.
To make it more comparable:
Female was smallest in 2011, laid 5 eggs.
Female was larger in 2012, laid 7 eggs.
Female roughly same size in 2013, laid 6 eggs.
Female MUCH larger in 2014, impending clutch.