seanjohnson - wouldn't this #4 traditionally fall under the category of #2 Matter firstly and #3 Intention secondarily? Because, it is certainly understood that if some layman says the words of consecration, nothing happens, implying the necessity of valid orders. I wasn't at this catechism class, so I cannot comment on the spirit of the session, but not mentioning this # 4 explicitly doesn't necessary alarm me.
I will grant that silence on the particulars concerning this subject(post v2 validity) while at the same time approaching Rome is very dangerous if not impossible to succeed without, that does not mean that accepting the validity of post v2 orders is wrong or a change of core belief. What the sspx needs to do is be open and explanatory about how exactly tradition can have relations with new church. Because, up until this point, the sspx code of conduct for relations with the NO has been practically schismatic(in some ways for good reason). And, that leaves everything in between no mans land, and that is a deadly area, which tradition and the sspx is partly to blame for, because it is inhabited.
Traditions problems do not revolve around validity of orders and their implication. That is an easy one. Traditions problems revolve around the legitimacy of orders, and their implication. I say this because concerning the clergy, the concern is legitimacy. Concerning the universal laity, the concern is validity. Those two statements entail much, and they need to be explained in our catechism classes. However, I would prefer to let the law of prayer establish the law of belief, because I don't much enjoy explaining it.