Worship, at its root, means 'worth'; the person places a worth on something, hence he/she worships it. Adoration and veneration are distinguished by some religions (adoration given only to God, veneration being directed toward kings or other men or so-called "Saints").
So if a person believes that God is his/her Creator and is ultimately responsible for the fact that they are alive, yes, I'd surmise that the person will feel strongly that God deserves worship.
But the bigger question is why does God want worship? I'd surmise it's becasuse he knows he deserves it, much the way a marriage mate expects and deserves, and in fact insists upon, fidelity. If a marriage mate doesn't get that, he/she is understandably upset. So why wouldn't God be upset when he doesn't receive what is rightly due him?
God wants us to acknowledge via worship him and knows it is best for us to do so. As humans, we show an inclination to worship, or place worth upon, something, be it money, sex, idols, whatever. God reserves the right to become jealous, again much the same way a marriage mate does when something or someone else gets what should instead be reserved for them.