[WildFlower]

there are obviously alot of different ways to say the same thing. It maybe cultural or just personality how a person says something. But grammer rules don't change. "Can I"? Indicates asking if someone is able to. "may I" indicates asking for permission. This is something basic you teach children when they are older like 5+ or so? So in the reverse, "can you take your shoes off" would be asking if they are able to. "will you take your shoes off" Is asking if they are willing to. "Take your shoes off" is a command, not asking if they are willing or able but telling them to do it.
Please added the the first option sounds silly and generally isn't used. Used with "will" or "would" as well as a simple command such as "do it" is simply manners.

Just like saying thank you. Please is polite and manners. It doesn't turn something into a request just because it's used. The way the whole sentence is stated makes it into a question , NOT the usage of the word Please.

Children, of course, might view a request OR a command as optional depending on how they've been raised.


Sorry if I keep saying the same thing but it really bugs me when people use grammer incorrectly.