Spike hawk? I've made several, but would not carry one. They are designed for war. And that "spike" just gets in the way when using it as a tool.
Pipe hawk? Never made any and have not carried one. Again, their mainly a war or cerimonial design. And that bowl interfers with using it as a tool.
Depending upon the time period of any event, or when out on my own, I carry what is called a British Light Infantry Axe by Jas. Townsend. It's basically a heavy hammer poll hawk. That extra weight helps a lot - when I'm not hauling along a half-axe or full axe.
At most events I would attend, I would have along a round-eye no-poll hawk, and a similar large axe. But that's because they fit into the time periods and geographical areas that I am focusing on.
That squared poll on a hawk or axe tend to start showing up in quantities in the late 1700's and moreso in the 1800's. Versions existed before then, but the that hammer poll just tends to be a later development.
Recently, I've been toying around making some classic wrapped-eye axes out of all wrought iron - with no steel cutting bit. And I'm going to do the same with some hawks. These replicate the trade axes of the 1600's on into the early to mid 1700's. Interesting project. And I'm being surprised and impressed at how well they work and hold a "usable" cutting edge. They are following the good example of the all wrought iron knives I have made and used, and those that some friends have made/used. And NO, we are not having to stop and sharpen them every few cuts as many think we would. So I no longer believe in that Old "notion" that you need a steel cutting bit in an axe or knife.
So I have my "preferences" in a hawk or axe, but mostly I carry what would historically fit into the time period and geographical area that I am reenacting at the moment.
Just my humble thoughts to share. Take them as such.
Mikey - yee ol' grumpy German blacksmith out in the Hinterland