Not quite.
http://www.societyholytrinity.org/rule.htm
Read Chapter VII "Parish Practice"
3. Baptize with water in the name of the Father and of the Son and of the Holy Spirit, and in no other name and with no other words.
4. Preside at the Holy Communion using bread and wine, leading the faithful in worship according to the orders and texts of the Church, as provided in her historic liturgy.
I have been to several Lutheran churches in my area and not one of them adhered to the traditional liturgy, including #4 that you referenced.