Did the priest know your JW connection or did he just tell the story in general?
I came across this old Awake! article from 1987 …
Why Are So Many Becoming Jehovah’s Witnesses?
IN MANY lands people are doing just that. For example, at Bologna, Italy, church authorities, with the pope’s approval, held a congress to study how to combat the success of Jehovah’s Witnesses. The Catholic Church raised a “cry of alarm,” according to La Repubblica, because every year ten thousand Catholics become Jehovah’s Witnesses.
The Jesuit Giusseppe De Rosa said that “from a religious point of view the most dangerous are Jehovah’s Witnesses. They come fully trained; they always have the Bible in their hand.”
In an editorial dealing specifically with Jehovah’s Witnesses, the Jesuit magazine La Civiltá Cattolica of February 18, 1984, wrote:
“The first reason for the spread of the movement lies in the propaganda techniques [that is, in the preaching work]. The work on the one hand is painstaking, carried out from door to door by people who are scrupulously trained in this work and strongly convinced.
“The second reason for the success of the JWs is in the attractive force of the jehovist message, in being able to cater to the needs, demands, and expectations of the people of our times. …
https://wol.jw.org/en/wol/d/r1/lp-e/101987202#h=5