Look, I will quote wikipedia for you:

straw man fallacy (sometimes written as strawman) is the informal fallacy of refuting an argument different from the one actually under discussion, while not recognizing or acknowledging the distinction.[1] One who engages in this fallacy is said to be “attacking a straw man”.

Calling somebodies god a sky daddy or invisible sky friend is not a fundamentally different thing than calling it god. It is disrespectful, but not a strawman. Nobody is questioning your belief in your god, they are just mocking it.

To give you an example of what actual strawman fallacy looks like, here is one from wikipedia again:

Another example of a strawman argument is U.S. president Richard Nixon’s 1952 “Checkers speech”.[13][14] When campaigning for vice president in 1952, Nixon was accused of having appropriated $18,000 in campaign funds for his personal use. In a televised response, based on Franklin D. Roosevelt’s Fala speech, he spoke about another gift, a dog he had been given by a supporter:[13][14]

It was a little cocker spaniel dog, in a crate he had sent all the way from Texas, black and white, spotted, and our little girl Tricia, six years old, named it Checkers. And, you know, the kids, like all kids, loved the dog, and I just want to say this right now, that, regardless of what they say about it, we are going to keep it.

This was a straw man response; his critics had never criticized the dog as a gift or suggested he return it. This argument was successful at distracting a number of people from the funds and portraying his critics as nitpicking and heartless. Nixon received an outpouring of public support and remained on the ticket. He and Eisenhower were later elected.

No it doesn’t