The owner of the Boat was said to have stated “even Jesus Christ couldn’t sink this boat”. Witnesses do say there were ice bergs. Something hit that ship and the damage seems consistent when they went down to look at the Titanic.
This site from DHS explains icebergs in the North Atlantic and how they often do enter the shipping lanes even in April.
https://www.navcen.uscg.gov/?pageName=IcebergLocations
When it comes to eyewitnesses, yes, even the rescue captain said the sinking ship was surrounded by a giant field of icebergs. Survivors also said there was about a dozen iceberg alerts that day.
Given all that, the past hundred years of using that common shipping lane daily.. It should be replete with iceberg crashes and stories of near misses. If we believe the eye witnesses, Southampton to NY is a giant minefield of icebergs, even in April.
So eyewitnesses, including the rescue Captain destroy the narrative of a freak occurrence of a rare iceberg at the wrong latitude.