In contrast, FPGAs are much more general purpose and as a result have fewer individual processing elements. Indeed, an FPGA can be made to emulate the AP for small designs, but the AP is able to accommodate much larger (or more instances of) automata on one chip, resulting in much greater throughput or bandwidth, depending on the configuration.
It is fair to compare the AP to FPGAs in the context of problems that can be reduced to regex (augmented with digital logic and counters), but not in a general purpose sense. Just because a problem might reduce to regex and can be run on the AP, doesn't mean that it can be done so efficiently. But there a host of problem domains in pattern matching that do map efficiently to the AP.