It seems the succession of bishops in Sweden is a point of contention and focuses on the circumstances of one person, however one article does say that the line of bishops consecrated by the pope ended.
en.wikipedia.org/wiki/Johannes_Magnus
Johannes Magnus was born in Linköping, son of the burgess Måns Pedersson and his wife Kristina Kruse. (His own later claims to be descended from a noble family named Store are unverified.)[1] Magnus was selected by Gustav I Vasa to become Archbishop, in 1523. As he was about to travel to Rome to be ordained,
a papal bull from Pope Clement VII was received, stating that the previous Archbishop Gustav Trolle, who was at the time in exile abroad, should be reinstated. The papal bull declared the deposition of Trolle unlawful.
However,
Gustav Trolle was deemed a traitor to the country, and Gustav Vasa could not reinstate him. Instead he ignored the papal bull and took it upon himself to install Magnus without papal acceptance. Before long, however, Johannes Magnus rebelled by declaring his discontent with the Lutheran teachings spread by the brothers Olaus and Laurentius Petri, under the supervision of King Gustav Vasa. The King then sent him off to Russia as a diplomat in 1526. Johannes Magnus was careful not to return home during that time, realizing that he was unwanted. Gustav Vasa appointed a new archbishop, Laurentius Petri, in 1531, and Johannes realized that his time as archbishop was over.
His brother, Olaus Magnus, had meanwhile travelled to Rome to explain the matter of Gustav Trolle to the Pope. In 1533 the Pope finished investigating the Trolle matter and decided that Magnus was the most appropriate successor, and Magnus travelled to Rome to be ordained. However, as Sweden now no longer took direction from the Vatican, both brothers remained in Italy for the remainder of their lives.
Magnus spent his time in Venice and Rome, where he wrote two historical works about Sweden: Historia de omnibus Gothorum Sueonumque regibus and Historia metropolitanæ ecclesiæ Upsaliensis, which are important for their historical information, but are also filled with tales that have no reliable foundation.
After the death of Johannes in 1544, the line of Swedish archbishops consecrated by the Pope ended. He died in Rome.
en.wikipedia.org/wiki/Laurentius_Petri
Laurentius Petri Nericius[1] (1499 – 27 October 1573) was a Swedish clergyman and the first Evangelical Lutheran Archbishop of Sweden. He and his brother Olaus Petri are, together with the King Gustav Vasa, regarded as the main Lutheran reformers of Sweden. They are commemorated by the Evangelical Lutheran Church in America on April 19.
At the Uppsala Council 1531, the Swedish King Gustav Vasa took the final step of breaking with the Roman Catholic Church, by personally appointing Laurentius as the new archbishop. On September 22 that year,
Laurentius was consecrated archbishop by the Petrus Magni, Bishop of Västerås. Magni is said to have been ordained bishop in Rome, although this point is disputed, and by consecrating Laurentius the apostolical succession is said to be retained in Sweden, which was considered important.
But although the consecration took place according to Catholic ritual, those who officiated at the consecration made a secret declaration that they were acting under pressure.[2]
Later that year Laurentius married Elisabeth Didriksdotter, a daughter of the King’s cousin[3] becoming the first Swedish archbishop to be married. His brother Olaus had already become the first priest to marry in 1525.
The king forbade Laurentius to interfere with the reformation plans. Laurentius wisely defended the autonomy of the Church against the various ideas of Gustav, such as his wish to abolish all bishops, while still steady advancing and promoting the ideas of the reformation texts within Sweden. His main contribution were his abundant writings which laid the foundation for the Swedish Church Ordinance established at the Uppsala Council 1571.
He was archbishop for 42 years, unparalleled in Sweden, and during his time he was often in conflicts with the monarchs. In 1539 his brother Olaus was sentenced to death by the King over some arguments, and Laurentius was among those forced to sign the death sentence. It has been disputed whether Laurentius was doing this because of a weak character or if he thought it better to formally obey so that he could continue to spread the reformation ideas. Olaus did eventually get pardoned in 1542, much due to his influential friends, but he was forced to keep a low profile, leaving the role of main reformator solely to Laurentius