You wind up needing to know the order of calculations since things are no longer lazily evaluated via recursion. This is a problem when you have dozens of "columns" (i.e. recursive functions or arrays as you are suggesting). Often times, the value in the array is NULL (or worse, leftover from a previous calculation). You are left to manually try and re-order the calculations, which is not trivial when there are hundreds of functions.
Excel takes care of these details for you automatically. Users program functionally and recursively (fill-down) without even thinking about it. Excel reactively updates when dependent values change (re-evaluates as necessary).
If power, speed, and scale are necessary, there are purpose-built systems (with Domain Specific Languages) which specifically solve this problem in the insurance domain (e.g. FIS Prophet, Risk Agility, AXIS, etc).