Italian politicians tend to elaborate speech 【that would seem old-fashioned to most English speakers】
其中【that would seem old-fashioned to most English speakers】是定语从句.
因为【that would seem old-fashioned to most English speakers】其中的【that】在句中【做主语】,that=elaborate speech
宾语从句的that是【连词】,只是连接宾语从句,在宾语从句中不做任何成分.
如:
He told me that he was a teacher two years ago.