I do believe it should still be an option. Biologics are not universally available, and its recurrence rates are still unknown in this setting in terms of large trials (at least that I know of). Tissue repairs do offer reasonable recurrence rates (5-15% depending on the study), which while higher than mesh repairs (1-5%) has the advantage of being unlikely to have to deal with an infected foreign body, which while biologics are somewhat resistant to contamination, it can still melt in the face of gross contamination and need removal (seen it, got to present the M&M).
Thus, while I think it is an acceptable answer to use a biologic, one should still be able to describe at least 1 tissue repair in case that is not available or that has already failed, just as you have to be able to describe a portocaval shunt for variceal bleeding when nothing else works, or a Vagotomy/Antrectomy for recalcitrant ulcer disease.
Our residents here rarely if ever do an elective true tissue repair (excluding Peds high ligations, which don't really count in the context of this discussion), but having said that, it would be hard for me to recommend that we go back to doing them when it is in the patients' best interest (for overwhelming majority of cases) to have a mesh repair. However, I believe the still need to have the theory at their fingertips should it ever become needed in the emergent situation.