Again, we turn to this data to attempt to answer the question. Here I'll plot average monthly housing cost in and around SLC:
Note: I conclude that the higher housing costs in South Jordan, West Jordan, etc are mainly due to house size (compared to the rest of the valley) because it doesn't appear that prices are being driven up by a lack of supply in these suburban areas. If anywhere, SLC proper has the constrained supply of housing. I would love house size by neighborhood data if anyone has it.
Also note: if house down payments (as a percentage of house price) vary strongly across the valley, this would change the analysis somewhat, but until we have that data we'd have to guess people are using (typically very small) down payments of roughly similar percentages.