The decrees of Trent are the summation of what the Church has always believed from the beginning articulated from time to time over centuries when they came under attack as they did at the reformation. Trent created no new doctrine.
I don't know enough about relativity, evolution or climate change to have any hard and fast opinion about them nor am I that interested in them.
Like Trent, Vatican II created no new theology. The Church has always supported ecumenism converting heathens and inviting heretics and schismatic back into the one, true fold. Dumbing down doctrine and praxis and adopting the errors of Protestantism is false ecumenism.
I don't know whether churches other than the Catholic Church have access to the Holy Spirit or not. I am only certain that the Spirit was promised by Christ to the Church He founded, which is the one, true Church lead by the Pope, the Bishop of Rome.