FFXIAH filters bazaars (on individual item pages) based on string matching to the full player name rather than just the player server name.
So if Sylph.Lakshmie has an Ifrit Ring +1 in their bazaar and your server is set to Lakshmi, their ring will show up in the Bazaars section of the Ifrit Ring +1 page despite not actually being on Lakshmi.