Pizza menu design that makes it easy to find the ingredients you want?

I came across this recently:

and I thought it could be improved by extracting the common ingredients into columns, like this:

code

I find the table intimidating at first. But once you understand it, it is quite empowering.

I was just wondering if there's a better way.

Perhaps the solution lies in combining the columns on the right? Example: half way down, the "Anchovies" column becomes "Tuna".