There's definitely differences between countries and regions, and I don't have data for it, but the stereotype of Latin American Spanish being slower than Spain has by and large been true in my experience.

Do you think on average Latin American Spanish is spoken at the same speed as Spain?

Edit: And regardless of regional variations I am certain that there are Latin American regions which have a generally slower speed of speech than regions in Spain. So the thing that interests me is whether in that case the Spain Spanish has more pauses etc.

Not only that, but a lot of features of various forms of Latin American Spanish also occur in Spain, especially southern Spain which is the "root" of much of it.