I like the free/paid model, but what you have doesn't strike me as "shareware", but rather "adware". How well does a completely free (no IAP, no ads) trial with a paid full version do in reality? That's more in line with the shareware model in desktop software and I remember it being a very successful strategy in console (and PC) games when I was younger.
Semantics. Basically, the ability to sell shareware doesn't exist anymore, so this is the new model of try, and if you like, maybe pay a bit. Unlike shareware, however, you can actually keep playing for free. So is the model better? Not sure, but after years of app stores, I still can't offer a trial, and I can't issue refunds, so this is my reality.