Yes, eggs change depending on chicken diet. Here's one article suggesting it takes only three weeks of the new diet for the eggs to change in their makeup.
I want PUFA-free (or very-low-PUFA) feed for my chickens. Here are a couple of videos that explain a little why, if you're interested. , .
I know that avoiding soy and corn is important, but I don't know what might be actually acceptable in feed if I want eggs that are very low in PUFA...