I totally agree that this appears to be a pseudogene. It is denoted as a pseudogene by IMGT. There is no ATG codon in the expected place and the sequence itself is somewhat unusual (note two cysteins in FR3). Expression of the gene has been suggested (e.g. https://doi.org/10.1179/102453311X12902908411634, Redirecting, Redirecting) but it appears that at least these studies did not really sequence the PCR products but relied on the specificity of the primers used for amplification.