"It doesn't sound " is associated with something you heard !
- They heard them fighting . I think they are at the edge of breaking up.
- It doesn't sound like that to me . ( You heard them )
" It doesn't seem .." could be something you heard inclusive , but is more general encompassing a situation you have seen or perceived with any of your other senses.
- The texture is of very fine quality.
- It doesn't seem like that to me ( seem to me like that ) .
You might have seen it ,touched