I agree with the other assessments, neither fuse nor CB is going to prevent VFD damage under all conditions. High speed semiconductor fuses might protect against a few more conditions than any circuit breaker, but the bottom line is often that the hassle and extra down time of having to replace them under nuisance clearing situations probably nullifies any gain.
As to which circuit breaker, it makes no difference between the available choices from that standpoint, the best and fastest CB is way too slow to do more than prevent a fire. The choice to go with an ETCB would be based on coordination with other breakers and OCPDs, not the down stream load. So from that perspective, a TMCB is just as good if you are not the one making coordination decisions for the entire distribution system, but an ETCB does provide the flexibility for you or someone else who may want to do that later.