A same meaning or not problem:
At that time , Constantinople was the capital of the Byzantine Empire and the Patriarch of Constantinople was the most influential leader of the Church in the eastern Christian world .
At that time , Constantinople was the capital of the Eastern Christian Empire and the Patriarch of Constantinople was the most influential leader of the Church in the Byzantine world .
****
[A]: no

A same meaning or not problem:
In the first quarter of 2016 , BC was the largest net beneficiary of interprovince - migrants in Alberta , with half of the 5,000 people coming from Canada .
BC was the largest net recipient of interprovincial migrants in Canada in the first quarter of 2016 with half of the 5,000 people coming from Alberta .
****
[A]: no

A same meaning or not problem:
He was likely the son of the painter Girolamo Danti , also from Pesaro , who had married the sister of the painter Giovanni Antonio Pandolfi .
Probably he was the son of the painter Girolamo Danti , also from Pesaro who had married the sister of the painter Giovanni Antonio Pandolfi .
****
[A]: yes

A same meaning or not problem:
In its upper reaches in the red hills of the Piedmont , it flows through a deeply incised channel etched into crystalline rocks .
In its upper reaches in the red hills of the Piedmont , it flows through a deeply incised canal etched into crystalline rocks .
****
[A]:
yes