The best way to read a "spotty" pattern is when you can find a frame that has all brood approx. the same age, say half way to capping.Then you look and count for cells that have nothing.
Go figure, a good queen, after she gets started can lay over 1000 eggs in a day.
If the cells are clean and ready she doesn't run here there and yonder scattering the eggs.
Why should she?
On the other hand if the house keepers are not doing their job,"not cleaning" the cells to her liking she "will" skip the "Not" ready cells. Remember, cleaning cells is part of hygienic behavior.
Hard to tell, but if this is the case then you need to re queen any how if the queen is producing poor Behavioral bees.
No matter how many eggs she can lay, if she is producing inferior bees, in any sense she needs to go.
Hope this is understood.
doak