Clearly the woman shouldn't have tried to board, and breached the bylaws doing so. However, there are safety procedures in place to stop this sort of incident happening when someone does try. When people cross the road without looking, that doesn't make it fine to run them over.
The platform dispatcher had a non-ideal view. In all honesty it's quite reasonable that he wouldn't have been able to see the trapped hand, and only the door indicators. However, the report does state that the dispatcher should "temporarily left the dispatch point to look along the side of the train" before right away, whereas he believed he should not.
However, the driver should have stopped the train immediately upon the passcom being activated, especially given that's the only way he can be informed of an incident post despatch (in the DOO dispatch procedure used).
The driver operated an override control 3.5 seconds later and this prevented the PCA causing an emergency brake application. The train continued for about four minutes, until it reached the next station.
FCC training did not make it clear that he must stop if still within a station, but he instead believed it up to his judgement, not entirely his fault. Additionally, his training told him that points was an inappropriate place to stop due to difficulty in providing assistance. FCC have said they will change their training, but I find this the most concerning part of this.