"Care for" Dose it often mean in romantic way (Oxford Dict) or not in a romantic way (Longman Dict)?

Answer 1

This expression "to care for" has both meanings:
"I will care for the dog while you are gone."

OR

"I certainly do care for you. I sent you 12 roses on your birthday, didn't I?"

Usage and context are your clues as to which of the two meanings are intended.

English, as many other languages has words that can mean many things according to the surrounding words.

Answer 2

"Care for" in the sense of "tend" always means the same thing. It is a very mild way of expressing emotional attachment. It may well be the way an ardent but shy lover would express his/her feelings; but it is normally applicable to someone at arm's length like an uncle or aunt.