Until evidence to the contrary, one would be fairly assured of validity in RC churches, as religious views, or strength of belief are a different issue than a general intention to do what the Church does, and a formal contrary intention.
First, does apostolic succession even exist. In the case of Holy Orders and Apostolica Curae, from the Roman vantage point, Anglicans at least prior to the Old Catholic involvement in some consecrations in the early 1900’s were held to be invalid, so intention or no intention, even if only the intention to do what the Church does was a moot point. After, one would have to look at the lines of succession with Old Catholic lines. GKC was the first Anglican/Anglo-Catholic I’ve encountered who was able to support any documentation that these OC bishops participated in the actual laying on of hands and did not act as simple observers. Even the folks I spoke to at St. Mary’s in Los Feliz, and St. Clement’s were unsure of where it would be documented, I have no reason to believe GKC here and on other boards is anything but honest and well read on the subject.
As to the TAC bishop I’ve brought up, it would be a difficult to argue in favor of the ordinations he preformed, if upon further investigation beyond the conversation I had with him that for a matter such as Holy Orders found him holding a positive contrary intention, that he intended to not ordain priests to offer sacrifice (if this bishop did somehow have valid orders) would be overcome a general intent to do what the Church does. But paired with other statements he made against the Mass being a Sacrifice and the real presence as anything more than a symbolic presence of Jesus in the congregation and not a transformation of the elements. However as he was speaking to a group, and I did not have the ability to question him further, there may be a slim that his lack of theological formation, as can be found among some of the TAC clergy in the U.S. could effect the issue.
A similar case was discussed while I was In the seminary there was a case of a bishop who near the end of his life admitted that his dislike for the Jesuits was so great that he formulated the intention to not ordain any Jesuit to the priesthood. Those who had gone through the rite with him were all ordianed by another bishop upon the revelation of the information.