Often times when the word ``really'' is used in as an adverb in an assertion or proposition, it may be useful to replace it with ``in some sense'', and seek to ask or clarify ``in what sense''. It shall be recognized that questions that arise may be legitimately hard to answer, but it may be still beneficial to consider them.
The same applies for ``actually'' and similar words when used this way, though in my experience, people tend to use ``really'' this way. I do so too, and I'm trying to get rid of this habit.