These four carbonyls are actually isoelectronic at the metal centre, each metal having an 18-electron configuration achieved through a different combination of d-electron count and overall charge. Comparing them as an isoelectronic series highlights the trend more directly.
Across this isoelectronic series, the trend is consistent: the more negative the overall charge on the metal carbonyl, the lower its C–O stretching frequency, and \( \text{Fe(CO)}_4^{2-} \) is the most negatively charged member.
Therefore, the correct answer is \( \text{Fe(CO)}_4^{2-} \).