Feeding the rule "NFD; [:Nonspacing Mark:] Remove; NFC" into the ICU Transliterator demo, the character Ø (\u00d8 == LATIN CAPITAL LETTER O WITH STROKE) remains as-is (i.e. the STROKE is not stripped).
In the list of non-marking spaces (Category Mn), I cannot find anything named COMBINING DIAGONAL STROKE akin to the COMBINING SHORT STROKE OVERLAY (\u0335) or COMBINING LONG STROKE OVERLAY (\u0336).
However, I do find COMBINING SHORT SOLIDUS OVERLAY (\u0337) and COMBINING LONG SOLIDUS OVERLAY (\u0338). They appear similar, but render as much thicker lines in my browser when combined with o and O.
The Unicode data I accessed for \u00d8 does not provide a decomposition for that character.
At the same time, the ICU Collator Demo will collate each of ø, o, Ø, O, o\u0337 and O\u0338 to the same code point using a Primary (Level = 1 = Base Letter) Collator.
Does this mean that the locale of Collator used in the Demo has been set up to identify the base character in a way where the Unicode spec is silent?
If so, do I need to a custom Rule Based Transliterator if I want to strip the STROKE from LATIN [CAPITAL, SMALL] LETTER * characters on transliteration?