No, but the phenotype is naïve and/or stem central memory.
Which alloc CART T in clinical trial is CD39-CD69-?
None that I'm aware of. However, it has been shown (data from auto trials) that product-related T-cell characteristics influence clinical outcome. For example, in R/R CLL the proportion of a specific memory population (CD8+CD27+PD-1-) correlated with complete responses [1], while in R/R LBCL a different population (CD8+CCR7+CD27+) were three times higher in patients who achieved a complete response compared to those who didn't [2].
Based on that they could screen donors for those phenotypes and test different products. In addition, it is possible to remove both exhausted and senescent populations, before and after production.