Love and lust

so today i had a sudden realisation. we always ponder about the differences of love and lust. then i found a situation which distinguishes both quite clearly.

when say the object of affection/lust, is sick or unhealthy. in a situation of lust, you will only want to meet him/her after he/she has recovered for more sex. but in a situation of love, you would want to spend more time with him/her to help him/her recover faster, to help while they cant move, to get that cup of water when they are thirsty.

anyone has any comments?