Depth-zero supercuspidal L -packets for inner forms of GSp4GSp4

We show that for any tame regular discrete series parameter of GSp4GSp4 or its inner form GU2(D)GU2(D), the L-packet attached by the local Langlands conjecture (Gan and Takeda, 2011 [14]; Gan and Tantono, submitted for publication [15]) agrees with the L-packet of depth-zero supercuspidal representations constructed by DeBacker and Reeder (2009) [12].