I've surveyed a lot of people on this - probably forty or so in person, plus another 100 or so in a poll on reddit once - and there's a pretty clear trend: people who perform the visual algorithm tend to be 'not math people', and are less accurate and less confident in their answer, or not even willing to try.
I'm aphantasiac and I can do a calculation like that fairly quickly and accurately, without any special practice. I basically use my verbal memory to store and recall cached computations instead of any visualization. My theory is that the visual brain is not really designed for storing precise information so much as the gestalt of an image, so it does less well on precise numeric details.