I don’t know of any studies, but if you look at CAF you will find many accounts from people who came from a Protestant church where the members, and the pastor, had time and took time to know people and be welcoming. When they attended a Catholic church no one, including the priest, spoke to them or noticed when they stopped coming. Part of this is culture, but the pastor, Catholic or not, does set the tone for the Church.
If that’s not enough, check some church web sites. In the South, where I live, there are non-Catholic churches here, there and everywhere. Each one has at least one minister. Larger churches (but still not megachurches) often have a pastor, an associate pastor, and a small army of ministers of this and that, each one an accredited minister. In contrast, Catholic churches are only found in larger towns or cities. In the towns, there are at most only one or two churches. These parishes often have one priest, plus one parochial visitor priest, imported from a third-world country. Only cathedrals have as much clergy as one medium-sized Baptist church.
Even in more Catholic areas, one still finds many non-Catholic churches, each with a minister to call their own, while the one Catholic church in town is part of a cluster of four or five parishes with one or two priests among them.
As for priests having time, I commend to you my experience when my father died, which I detailed above, plus the experience of many on this forum who have difficulty finding a priest to hear confession or give counsel. Bottom line: those who allow clergy to marry have enough clergy. Latin Rite Catholics don’t. If you, or anyone else, know a better reason for this than mandatory celibacy, please tell us.