This is true. It was easier to judge consensus back then when there were fewer writers, most were English or Australian, and they tended to agree. When Bradman retired in 1949, there seemed to be a reasonable level of agreement on the best batsmen to that time. In England it was something like:
Tier 1: Grace, Hobbs, Bradman
Tier 2: Ranji, Trumper
Tier 3: Macartney, Hammond
In Australia, Trumper was in Tier 1 instead of Grace. The odd historian there, such as Johnny Moyes, placed Clem Hill on the same level as Macartney and Hammond.
The publication of CLR James' Beyond A Boundary in 1963 changed perceptions of Headley at a time when West Indies were establishing themselves as the most influential and successful Test team. He moved ahead of Ranji, Macartney and Hammond, and also the more recent Hutton. In the Caribbean Headley had always been in the top tier.