Maybe the wrong question. From my POV the concept of Liberal vs. Conservative is maybe misleading. Orthodox vs. heterodox might be a better approach.
... or degrees of Confessional subscription. "Conservative" needs to be defined by the original poster.
To have differing beliefs regarding adiaphora in church government or administration does not necessarily mean that one position is more conservative than another. If conservative means resistant to change, I would look to the church that most closely resembles those in Germany during the period known as Lutheran Orthodoxy, especially 1600-1685.
https://en.wikipedia.org/wiki/Lutheran_orthodoxy
"
Congregations maintained the full
Mass rituals in their normal worship as suggested by Luther. In his
Hauptgottesdienst (principal service of worship),
Holy Communion was celebrated on each Sunday and festival. The traditional parts of the service were retained and, sometimes, even
incense was also used.
[2] Services were conducted in
vernacular language, but in Germany, Latin was also present in both the
Ordinary and
Proper parts of the service. This helped students maintain their familiarity with the language.
[3] As late as the time of
Johann Sebastian Bach, churches in
Leipzig still heard
Polyphonic motets in Latin, Latin
Glorias,
chanted Latin
collects and
The Creed sung in Latin by the choir
[4]
Church music flourished and this era is considered as a "golden age" of Lutheran hymnody.
[5] Some hymnwriters include
Philipp Nicolai,
Johann Heermann,
Johann von Rist and
Benjamin Schmolck in Germany,
Haquin Spegel in Sweden,
Thomas Hansen Kingo in Denmark,
Petter Dass in Norway,
Hallgrímur Pétursson in Iceland, and
Hemminki Maskulainen in Finland. The most famous orthodox Lutheran hymnwriter is
Paul Gerhardt. Prominent church musicians and composers include
Michael Praetorius,
Melchior Vulpius,
Johann Hermann Schein,
Heinrich Schütz,
Johann Crüger,
Dieterich Buxtehude and
Johann Sebastian Bach.