Modern blown insulation is designed not to encourage the transfer of moisture, and therefore you will be fine on that score.
A couple of things to look out for are as follows:
– Openings: Make sure they do under the windows and above lintels. These are areas often overlooked and can result in cold spots, which encourage damp and eventually mold.
– This probably isn’t relevant to the friend of the OP but check the eaves: Because of the high powered nature of the hoses, it is often no possible to insulate the very top of the external walls as the insulate will just blow out the top of the cavity and spray all over the roof space.
What you can do is go up there afterwards and push some roof insulation down into the cavity, assuming you can get at it of course.
Ultimately, even blown insulation can be a little patchy, but a good specialist should be able to do the job as well as possible.
I have seen thermal images of a house AFTER it has had new insulation blown in and the areas I mention above still register as cold spots.