This is a bit of a spin on the classic question, “If a tree falls in the middle of a forest and no one is around to hear it, does it make a sound?”
If a person cares about another person but doesn’t show it, do they really care?
It’s not that simple.
What does it mean ‘to care’ or ‘to show that you care’? With words, with gifts? With gestures?
And how is the relationship between the care giver and the care taker/receiver? Are they that close, that they understand the other’s intention? I think you are also aware, the attention or the care is not always interpreted as it was intended. The opposite happened more often, I think. The attention is misinterpreted.
I think, as simple as it may sound, it is a complicated question. Feelings are always complicated anyway.