I'll draw a diagram. The first value is a pointer to a contiguous array of numbers on the heap.
(stack) (heap)
┌──────┐ ┌───┐
│ vec1 │──→│ 1 │
└──────┘ ├───┤
│ 2 │
├───┤
│ 3 │
├───┤
│ 4 │
└───┘
The second version adds extra indirection. The elements are still on the heap, but now they're somewhere else on the heap.
(stack) (heap) ┌───┐
┌──────┐ ┌───┐ ┌─→│ 1 │
│ vec2 │──→│ │─┘ └───┘
└──────┘ ├───┤ ┌───┐
│ │───→│ 2 │
├───┤ └───┘
│ │─┐ ┌───┐
├───┤ └─→│ 3 │
│ │─┐ └───┘
└───┘ │ ┌───┐
└─→│ 4 │
└───┘
Due to the way ownership works in Rust, you are not going to run into any semantic differences. The extra indirection gives you worse memory usage and cache locality.