Conway’s Game of Life: Is it really P-complete?

Wikipedia claims that the Game of Life is P-complete (or the decision problem version of it is; the function version, I suppose, would then be FP-complete).

Colloquially, P-complete and FP-complete problems are difficult, if not impossible, to parallelize. However, most software for evaluating the Game of Life is parallelized. The algorithms aren’t even that hard to understand. This seems to be in conflict. What is going on? Is Wikipedia wrong, or do I misunderstand something?