Completely untrue for me & many people I know (like my best friends ESFP & ENTP), though it seems accurate for my ISTP. I spend time with people to get things done or feel lively, even when I care little about them. Without verbal affirmations to say: "hey, I like you more than most!", they'd sometimes have no external sign that they were more important just because we have a lot of activities together.- Spending time with you or doing things for you is a tell-tale sign you're important to us. Seriously.
Also, to me "doing something special" & "cheering me up" would hardly be used in the same sentence. If I'm upset about something, being "cheered up" with something "new & exciting" right away is usually invalidating for me.