I was a bit concerned too - I thought the double batting on the seam edges (where they overlapped) would look horrible, but I was relieved when it looked OK in the end.
I think I've already posted this pic recently, but you can have another look at it. If you want a closer pic, let me know and I'll take one.
I don't think the bulk is that noticeable, it just has the effect of making the pieced tris look a bit further back compared to the plain ones. So a certain amount of dimension - which is what you are after with your trapunto.