No you don't, you can deduce fairly quickly that this is what will happen while playing that game. And when a person does do this it is of no fault to the F2P model but of the idiotic user.
I'll admit in some circumstances it can be tricky to see through the veil of uncertainty while playing a new F2P so here is top 10 list of red flags:
1) It's made in Korea.
2) It's made by EA.
3) They refer to the in-game currency by anything that sounds overly cute.
4) There are monkeys, rabbits, penguins or <insert popular 'cute' animal here> predominately featured through-out the game.
5) In every opportunity that could possibly arise it blasts you with social media integration options. TELL YOUR FRIENDS!
6) It's made in Korea.
7) There is a logarithmic progression curve that is noticeable by any indication passed level 3 or a symbol thereof a suitable time frame to be level 3 (not all games have levels)
8) "Skip this/Speed" this up by paying X fun-lovey-dovey-bunny-coins
9) It's made in Korea
10) $1.00 = 1 Bazillion Trillion Megamillion fun-lovey-dovey-bunny-coins, "What a Deal!"
Tell me again how the Koreans are out to rob us.
This isn't a list about anything except your mistrust of Koreans and a dislike of a cutesy factor. None of it deals with the fundamental issue of labeling a game as free to play when it's essentially the opposite. Accusing everyone of being idiots if they can't detect a raw deal is arrogant and condescending.