In the example screenshot taken from my Arqade user profile summary, I earned the Socratic badge on November 16th, 2021. But all it shows on the summary page is "Nov 16". When I see this, it makes me think it would be for this year, but obviously November hasn't occurred yet. I could also see people mistaking this for November 2016.
Additionally, this is inconsistent with how other parts of the page show the dates. For example, see the red underlined dates in the "Questions" summary, while the badges circled in blue show only the month/day.
The summary page should either show the year all the time for the badge summary, or at least once the year the badge was earned has ended, the year should be displayed. I am guessing the way this currently works is the year needs to be over, and then the month in question must also have started in the subsequent year.