RE: "[T]he Divine Service is a weekly reminder that those gathered around Word and Sacrament are baptized."

To this baptized churchgoer, that's like saying, "Every day in school is a reminder to the students there that they are enrolled." For we understand from Jesus' Great Commission that the baptism that washes off the stains of prior waywardness also enrolls new disciples in the school established by Jesus to carry on his teaching (Matthew 28:19-20).

It seems to me that from one week to the next faithful congregants are not likely to forget that they are baptized. Rather, knowing they are baptized, they might well understand that the fulfillment of their calling (Eph. 2:10, Titus 2:14, 1 Peter 2:9) is furthered when they gather to worship God (Ps. 100:4), be edified by his Word (John 8:31), break bread (Acts 2:42), and "stir up one another to love and good works" (Heb. 10:24).