I really don't think this is a complicated problem. I don't think it's a matter of turf type or fertilizer or soil composition. Like most turf problems in arid climates, its irrigation based. If this was the states, we'd either line those bunkers with small heads, or free someone up to drench it about once a week. Other than that, I don't hold out much hope that picking the right grass solves the problem. One thing you can do is find good mulch and incorporate it into the soil in the hope of growing denser turf. When I worked in the north we'd mulch all of our exposed bunker surrounds after we blew out just to combat winter desiccation, and it worked pretty well.
Without finding some method of irrigating that expose area, I think the bunker is going to continue it's march on. Too much radiated heat from the bunker and too much exposure to the wind to keep strong turf there without additional irrigation...IMO
A few more things to add...if the irrigation water is poor quality (pH is not really a good indicator unless it’s way out of whack) due to salts or high bicarbs then the areas that get less water will grow poor turf. The main reason is less water means a higher concentration of salt. This happens on the edges of golf courses in the desert because you don't have head to head coverage in those areas. And you also have a lot of radiated heat from the desert. Before I left AZ we were studying this because the state was continuing to reduce the amount of water we could use based on scientific principles and we were trying to prove that the edges need more water than the middle of the holes and that you couldn't simply assign an amount of water based purely on acreage. Don't know where it ended up but any desert super can tell what I'm trying to explain here.
So if the middle of your course needs .25 inches of irrigation a week to grow good turf, the edges may need 10% more. Throw in the fact that the bunker is on what looks to be the prevailing wind side of the hole and you've got the perfect storm