Now that you mentioned this, I do recall in the early days of mobile games, back when the App Shops were first introduced, there were games that you would pay somewhere between $1 and $5, and you get the whole thing. No in-app purchases, no ads, and no lotteries for special characters or gear. I remember Square Enix had some really good JRPG games that were made specifically for the iPhone and iPad. Chaos Rings and DrakeRider were two games I recall playing, but they were much more expensive compared to the usual games I found. But, when you paid for it, you got the whole game and all.
I think mobile app developers have realized that they could get more engagement and cash from their users if they made games that had a gambling aspect to it. Kinda like the casinos in Vegas, the house always wins, but you keep putting in money on the hopes you get a jackpot.
That being said, there is one freemium game that I do find quite fun, and that is Romancing SaGa Re;univerSe. The thing that makes this freemium game a bit different is that Square Enix is quite generous in their in-game currency. You can actually do quite well without making any in-app purchases.