why would receiving the Sacrament of Holy Orders in an emergency from that same [schismatic Old Catholic] bishop, make the recipient in schism?
Where on Earth did you learn this? Stubborn is right here. Cite the provision in the law that allows for this, or a theologian who teaches this is allowed, or retract your statement, because anyone who follows the advice you give them will find it gives them a one way ticket straight to hell. Canon Law, Pope Pius XII and innumerable theologians on the contrary teach you that you will incur an automatic excommunication reserved to the Pope for doing so.
We are not talking about one Catholic consecrating another Catholic and awaiting Papal confirmation, something that has happened before. You are claiming that a schismatic "Old Catholic" can consecrate a Catholic, and that the Catholic who receives that can just continue the schismatic lineage, is that correct?
The truth is something completely different and should be well known, Bp. Fellay aptly explained a while ago, "There is a principle of action in the Catholic Church that says if a Catholic receives ordination outside of the Church from a schismatic movement, (the Orthodox, etc.), he may come back into the Church, but may never exercise the sacramental power he has stolen from outside the Church. It is a general principle applied up to the present."
We have basically two issues here 1. When a Catholic dares to "steal" Holy Orders from the hands of a schismatic bishop outside the Church, he incurs an excommunication reserved to the Apostolic See. This means only the Pope can remit that censure, which according to you is not possible now. 2 Second, even after he submits to the Papacy and the keys, abjures his error, repents of his sin, and is received back to the communion of the Church, he is never ever allowed to exercise that order, because receiving orders and especially consecration from a schismatic is a heinous and intrinsically schismatic act. That line is forever tainted, and though the Pope may forgive the sin later on, as a penalty for that sin, that "stolen" order cannot be exercised.
This is a far cry from what you are claiming, that one can receive and continue a schismatic lineage at one's pleasure and without scruple. It is heretical and it shows just how far into error you have fallen once you have dispensed with any necessity of the Papacy for the continuation of the hierarchical Church.
Do you also believe now that you can attend a schismatic Old Catholic Mass, or an Orthodox (not Eastern Catholic) Divine Liturgy celebrated outside the Church, given the state of necessity? And are you really claiming that if one of us can find a schismatic "Old Catholic" kook out there willing to commit the sacrilegious, illicit and criminal act, any of us can actually lawfully obtain episcopal consecration from him if we wished, given the state of necessity? Utterly heretical garbage. Even the CMRI has never ever claimed what you are claiming. In charity I must warn you, what you claim puts you in danger of heresy.