In a Gitik model of $\sf ZF$ choice is obviousely lost since all uncountable cardinals are singular and of cofinality $\omega$. Now that choice is lost doesn't by itself entail that weaker forms of choice are not preserved.
Up to which stage in the choice spectrums $\sf DC_{< \kappa}, \sf AC_X^Y(Z)$ choice can be preserved in a Gitik Model of $\sf ZF$?