Yes, annoyingly FCP 11.1.1 uses the fragile MacOS:FileCreateDate as the "Content Created" date while IMHO it should use QuickTime:CreateDate for that.
Some workarounds:
a) Copy QuickTime:CreateDate to MacOS:FileCreateDate joema already suggested doing via exiftool.
Also GraphicConverter 12 can do that via:
GC Browser > Filesystem Attributes > File Date > Set File Creation to Exif Date
b) iOS/iPadOS devices insert Keys:CreationDate to movies and Apple's apps currently prefer it over all other dates and time zones.
So copying QuickTime:CreateDate to Keys:CreationDate forces FCP to use it so the fragile FileCreateDate is ignored in the future (confusingly the import dialog displays FileCreateDate as "Content Created" date but the imported movie displays the correct Keys:CreationDate as "Content Created" date).
exiftool -m -overwrite_original -api QuickTimeUTC=1 '-Keys:CreationDate<QuickTime:CreateDate' '-FileCreateDate<QuickTime:CreateDate' '-FileModifyDate<QuickTime:CreateDate' .
Also GraphicConverter can do that via:
GC Browser > General Metadata > Metadata Specifics > Copy Date to Keys:Creation Date (only Movies)
c) I routinely rename all input files to have the metadata date in the filename with GraphicConverter (via File > Rename...) or exiftool (I also set file dates accordingly). Then the input movie dates are visible in FCP.
Optionally it is possible to save the date and original filename to the filename. Or save original filename to XMP-xmpMM:PreservedFileName:
exiftool -m -overwrite_original -fileOrder5 FileName -api QuickTimeUTC=1 '-PreservedFileName<FileName' '-FileName<QuickTime:CreateDate' '-FileCreateDate<QuickTime:CreateDate' '-FileModifyDate<QuickTime:CreateDate' -d '%Y-%m%d-%H%M-%S%%+2nc.%%e' .
...optionally revert to the original FileName:
exiftool '-FileName<PreservedFileName' .
https://exiftool.org/forum/index.php?topic=17284.msg92639#msg92639