Probably not. Contexual meaning is different between the two. And there is a huge differnce between the two.
In some way I disagree.
I used SEE signs when I was much younger because of the English grammar and the way the school taught me. I learned the differences between jump, jumped, jumping. Over time, my signs just evolved to PSE. I do more ASL than PSE, however, I find myself a hard time not moving my mouth or dropping my voice. If it was someone who uses ASL, I would drop my voice, but still have some mouth movements. There are some ASL signs that you cannot voice.
Everyone that I know that used ASL as their primary language can understand me. I can understand them because the signs are the same/similar. It's just how they would sign is very different. I have to observe all the signs together to see what's the whole story is. Occasionally I do have issues understanding pure ASL because lack of mouth movement (in English).
I just can't find myself "perform" in ASL because I think everything in English. If I want to ask the person, "How are you today? I am doing good! It's a nice day outside!" in sign, I would say, how you today? I (in ASL format) good. Nice day out". However, my mouth movement will come out in straight English, leaving out words.
That's why sometimes I'm questioning why people have a hard time speaking and signing at the same time. Is it because they're using SEE? (THAT i can see is hard).
Honestly, my opinion, I think the child should be exposed to both English and sign language communication.
Shel90 - why did you say that lack of ASL will impede the child's literacy skills? I find that hard to believe 100% of the time. I grew up without ASL, and I can read college level. Or is my situation just different? I'm just curious.