Is teaching a dog their name the same as charging the mark?

They are the same in that it's basically just building value for a word ( the name and a marker).

I play the name game from the moment I get the puppy and have a name picked out, I may or may not charge the mark right away. I may wait a week or more, depending on the puppy. You can do them around the same time but since your marker is used as the predictor of a reward event in later training I separate the two and usually from the beginning make sure that the puppy knows when we are training and when we are done using our markers of Ready, Yes, No and All Done. You don't necessarily want your puppy explosively running to you just because you mention his or her name. (Of course, that depends on your training goals.)

The goal is for the puppy to recognize their name and using food to reinforce that at first is the easiest way. I hope this makes sense.