Is your feature request related to a problem?

I am a bit puzzled about how xarrays is broadcasting Datasets. It seems to always add all dimensions to all variables. Is this what you want in general?

See this example: ```python import xarray as xr

da = xr.DataArray([[1, 2, 3]], dims=("x", "y"))

<xarray.DataArray (x: 1, y: 3)>

array([[1, 2, 3]])

ds = xr.Dataset({"a": ("x", [1]), "b": ("z", [2, 3])})

<xarray.Dataset>

Dimensions: (x: 1, z: 2)

Dimensions without coordinates: x, z

Data variables:

a (x) int32 1

b (z) int32 2 3

ds.broadcast_like(da)

returns:

<xarray.Dataset>

Dimensions: (x: 1, y: 3, z: 2)

Dimensions without coordinates: x, y, z

Data variables:

a (x, y, z) int32 1 1 1 1 1 1

b (x, y, z) int32 2 3 2 3 2 3

I think it should return:

<xarray.Dataset>

Dimensions: (x: 1, y: 3, z: 2)

Dimensions without coordinates: x, y, z

Data variables:

a (x, y) int32 1 1 1 # notice here without "z" dim

b (x, y, z) int32 2 3 2 3 2 3

```

Describe the solution you'd like

I would like broadcasting to behave the same way as e.g. a simple addition. In the upper example da + ds produces the dimensions that I want.

Describe alternatives you've considered

ds + xr.zeros_like(da) this works, but seems more like a "dirty hack".

Additional context

Maybe one can add an option to broadcasting that controls this behavior?