Not quite. It's not about the theoretical power draw itself. What matters is the technology inside the psu. Modern psu's should come with dc/dc circuits, separating +12V from +5V and +3,3V leading to higher efficiency and stability. The latest gpu's since nvidia maxwell and newer switch their clockspeeds quickly on the important +12V rail for power saving issues. With dc/dc (= indepedent regulation) you won't see any troubles. Older units as the ea500-D however will most likely switch +5V and +3,3V as well, possibly causing damage on your ram/ssd/hdd. Believe me, you don't want that. Avoid it with an up to date psu.
Apart from this should a 6+ year old medium class psu's replaced for modern hardware. Not only will the overall system efficiency be raised, you also gain safety for your beloved stuff. Remember, everything in your pc runs from that psu.