I am “cherry picking” here, but these paragraphs do speak toward the types of Catholics (mature, unfaithful and the weak).
And again note, the decree on ecumenism was written in 1964 - (I was 4 years old.)
vatican.va/archive/hist_councils/ii_vatican_council/documents/vat-ii_decree_19641121_unitatis-redintegratio_en.html
November 1964 - DECREE ON ECUMENISM
"Catholics, in their ecumenical work, must assuredly be concerned for their separated brethren, praying for them, keeping them informed about the Church, making the first approaches toward them.
But their primary duty is to make a careful and honest appraisal of whatever needs to be done or renewed in the Catholic household itself, in order that its life may bear witness more clearly and faithfully to the teachings and institutions which have come to it from Christ through the Apostles.
For although the Catholic Church has been endowed with all divinely revealed truth and with all means of grace,
yet its members fail to live by them with all the fervor that they should, so that the radiance of the Church’s image is less clear in the eyes of our separated brethren and of the world at large, and the growth of God’s kingdom is delayed.
All Catholics must therefore aim at Christian perfection(24) and, each according to his station, play his part that the Church may daily be more purified and renewed. For the Church must bear in her own body the humility and dying of Jesus,(25) against the day when Christ will present her to Himself in all her glory without spot or wrinkle.(26)
All in the Church must preserve unity in essentials. But let all, according to the gifts they have received enjoy a proper freedom, in their various forms of spiritual life and discipline, in their different liturgical rites, and even in their theological elaborations of revealed truth. In all things let charity prevail. If they are true to this course of action, they will be giving ever better expression to the authentic catholicity and apostolicity of the Church."