I always get a chuckle out of the anally-obsessed birders who think these rules were inscribed by lightning bolts into stone slabs, brought down by Moses from off the mountain. Sounds like you have that type of birder down there as well.
What if that bird had gotten between the two walls, into that narrow No-Man's-Land strip? Could you count it then? I'll bet your rule-makers discussed that at length...
Your count sounds quite different from ours up here. All of ours are limited to a circle with a radius of 7.5 miles (12km) and I once had a car partner who pointed out that a specific bird we were counting was so close to that imaginary and arbitrary boundary that we needed to wait a bit to see if it strayed a wee bit closer to us so that we could be absolutely certain it was countable. That was an interesting afternoon...
Is your count not also done in a fixed 15-mile circle? If so, you don't have any more area to cover than any other Xmas bird count; in fact, it sounds as though your circle is on the coast and extends out some distance over the water, so you actually have less land to cover than most counts. But I'm shocked at how few counters you had. Eight people is exactly the number we had in our nearby count the other day. Six of those lived within the circle or at least very nearby, and my friend and I were the outliers as we had to drive about an hour to get there.
Considering the population density of your area versus mine, I would have thought you'd have many more counters than we did. My "home" count, where I actually live, was postponed due to a winter storm until Jan3; it usually has about 12-15 counters, many of whom make the arduous trek from the teeming metropolis of Winnipeg (population about 850,000

) about an hour away. That's by far the biggest city in the province; second place goes to Brandon with just over 50,000!
So we have far fewer than one million people living within an hour...or even three hours...of the count circle, and we get less than 20 people coming out for the count. How many millions live within an hour of that park you were counting? I can see a city in the background; where are all the birders?
I always thought our numbers of counters were sad...but, relative speaking, yours are much worse. Now, mind you, we count usually in pairs and usually never even get out of the vehicle...whereas you seem to be traipsing around on foot through the desert...so you probably miss a lot of birds that you just never get close to. Up here, we are mostly scanning denuded trees or empty pastures...on a pancake-flat snow-covered landscape...and trying to cover the whole area. A bird here in December sticks out like a cockroach on a wedding cake. We probably count a much higher percentage of the birds present than you do...but, of course, there aren't nearly as many here to begin with.
70 species on a Xmas count? That's a pipe-dream for us here.