Of course it depends on the tone, the context, and the request itself.
When I'm asking someone to do something, I almost always want to know if that request is a stupid thing to do right then. So, "Will you please" implies my intent. If you don't think it's the right thing, then let me know and I'll almost always be persuaded by the new information.
If the reason is, "I don't feel like it." that's one kind of conversation, but the more common response is, "I'm right in the middle of xyz, can we do this tomorrow?", or even "I'm not sure we should do that at all because, x, y and z."
The answer is almost always, "Of course, thanks for letting me know."
All that said, a "Will you please" when you really mean, "Do this shit right now, or else!" is one of the most infuriating things people do and I've left an otherwise great relationship in large part because that nonsense was constant.