The proper noun "Turkey" is very different from a turkey leg.
A turkey leg fits our perception of medieval people walking around eating a huge chunk of flesh, though that is also a misnomer unless you're thinking of the nobility.
To be fair, a disproportionate number of visitors in any sort of vaguely historic costume at a Renfest/Mittelaltermarkt are cosplaying at least minor nobility, in the US or Germany.
A turkey leg fits our perception of medieval people walking around eating a huge chunk of flesh, though that is also a misnomer unless you're thinking of the nobility.