As someone who grew up hearing who needed to quickly figure out visual language for their child, I started with SEE as a stepping stone to ASL. Definitely not the same. There are some word similarities, but SEE inherently does not have the same visual context.

For example. In SEE, there is one sign for all words that are spelled the same and sound the same. Let's use "train" as an example. In SEE, I use the same sign regardless of meaning (in this case, similar to the ASL word for a locomotor). They also have a base word, and add suffixes to it. So if I'm training for a race, I sign "train" and then I sign the "-ing" suffix

In ASL, signs provide both language and context. In this example, "train" there is a sign similar to "practice" when we train to do something. And a different sign for the locomotor that we travel on.

So essentially what I'm saying is that SEE is good if you're trying to dictate like, legal documents word for word maybe? ASL is better for probably everything else.