SRY triggers development of testis, but in fact, if you have a translocation of just SRY onto X, and thus are an XX male, you may have issues with reproduction,

SRY triggers development of testis, but in fact, if you have a translocation of just SRY onto X, and thus are an XX male, you may have issues with reproduction, as the Y chromosome contains other supporting genes for the production of sperm. We can go on about male v female as a social construct, but biologically, males produce the smaller gamete, so if one has SRY and has an otherwise male phenotype, but isn't producing sperm, from a strictly biological perspective, it's not at all clear that the statement 'SRY is the determinant of maleness' is necessarily true. It certainly will make you develop testicles and male secondary sex characteristics. You are correct on the cell naming. Cells cannot be male or female. That is a characteristic of a complete person. They can be derived from a male or female, but what the scientists did here did not change that attribute of a cell.