NOAA list the following as the most intense Atlantic hurricane seasons on record (since 1850) in order: 1933, 2005, 1893, 1926, 1995, 2004, 2017, 1950, 1961, 1998.
https://www.aoml.noaa.gov/hrd/hurdat/comparison_table.html1933: first TS formed on May 14 in the Gulf, the second formed from a tropical wave on June 25 and became the first hurricane of the season.
2005: TS one formed on June 8 and TS two on June 28, both in the Gulf.
1893: One TS formed in the Gulf on June 12.
1926: No storms were recorded until the Great Bahamas hurricane (cat. 4) on July 22.
1995: One hurricane formed from a tropical wave on June 2.
2004: No storms until July 31
2017: The first TS formed on April 16, the second and third on June 19 and 20, both from waves.
1950: No storms until August 12
1961: First storm formed on July 21, reaching Cat. 2 hurricane. The second storm did not form until September.
1998: The first tropical storm formed from a tropical wave on July 27.
In two of the 10 most intense hurricane seasons, a tropical storm formed before June 1, the official start of hurricane season. Three years saw the first storm form in June. In four years, the first storm formed in July, and in one year, the first storm formed in August. In only one of those ten years (2005) did three tropical storms from before July. The early start to the hurricane season this year, may not be an indicator of the intensity of the season.