This simply isn’t true. I’ve been parts of both Catholic and Protestant parishes. As a Protestant, I never had any trouble getting help from a minister when I needed it. They were always available during office hours, and often by phone or e-mail otherwise. Once, when I needed gas money, the minister delivered it himself! In the Catholic Church, I found that the best - often the only - time I could reach a priest was during confession or after Mass - for a very few minutes. When my father passed away, the hospital chaplain tried every parish in town to find a priest. All were busy, most didn’t answer. This in a fairly good-sized city with many parishes, on a week night, and not a holy day. He finally came up with two, but that’s another story.
The reason why, I believe, is quite simple. In spite of the fact that there are many more Protestant churches here than Catholic, there are also many, many more ministers than priests. There are enough ministers to know their congregants by name, know their problems, and care for them, while priests are little more than consecrators of the Eucharist. It’s not their fault. There are simply too few of them. And this will only continue and get worse.