You said that "God answers the prayers in line with his plan", which is precisely what the image claims. If what you pray for is in line with his divine plan, then he's gonna grant it anyway because it's part of this plan, thus making prayer redundant. On the other hand, if what you pray for is not in his plan, then he don't grant it no matter what, thus making it futile.
Unless you prove to us that your god alters his divine plan to accommodate our "petitions" through prayer, then anything you say about the matter is still supporting what the image claims.
Claims about gods arise from religious texts, which is filled with dogma. You may be able to separate the two in practice. But when it comes to investigating the claims, the two are inseparable.