For H1B : Can't you use your TPS EAD as a backup if in case you lose your current job? Employment in USA is at-will meaning that you or the company can end the job with/without cause. In instances as such, H1-B would definitely benefit from TPS EAD as he/she would have a valid work permit to look for another job. I don't see any reason why H1-B would only apply for TPS and not for EAD. I am under the impression that TPS EAD is a cushion that protects you whether or nor you have a job now. If you were to lose your job 6 months from now, TPS EAD should help you find another one.