Raw edge Appliqué! I read through some previous posts, but still have a question or two

I’m making these goofy little shapes, inspired by a quilt I saw by “ Suzie quilts”. Credit to her!

Here are my questions.

The fusible interfacing is visible around the edges. Will this improve overtime?

Also, if I hand stitch instead of machine stitch ( like I did on the inside of the peach shape), will fraying likely be worse?

Thanks in advance !