Disclaimer first.......While I am an engineer, and I would do this myself, you must assess you own risk here and make the decision that is right for you. The manual CLEARLY states to NOT do this. I can't stress that enough. Your warranty (if remaining) will be void, and you will be liable for all your own actions and the results of those actions including potential bodily harm, and damage to property. Be careful, and be safe.
NOW.......IMO, You'll be fine to hang a hammock from that tower.
Here's a guy hanging on the tower of an Axis A24. I got the idea from him, and have a similar setup on my AR190. I took this picture back in 2017, and he still uses that tower most weekends. Tons of other issues with the boat, but the tower has been fine.
<--Click for larger image
I wouldn't use the tower like a diving board, but you should be able to hang a hammock from it without doing any significant damage. I would hang from the lowest "rung" that you can on the side of the tower. This is from a picture I found online. Use the red circled rungs if you can. Make sure the pins are fully seated, and the tower is locked in place appropriately.
The biggest issue is that you are loading it in "reverse" from a wakeboarder. Think of the moment applied to the base. It's "clockwise" at the base from a wakeboarder, but "anti-clockwise" with a hammock. The torque applied is a function of mass and distance. you have a much lower distance from the pivot with a hammock, but the pull force (mass) is much higher. I would wager the pull force of a wakeboarder to be under 100lbs. I know I can pull myself forward while on the board with one arm, but I can't do a one armed pullup. I weigh 220lbs, so I'm guessing the pull force from the board is under 100lbs. I can really lean into the board and produce some serious tension in the rope though. Maybe, I'll grab a fish scale next time I'm out
.......Anywho.....moral of the story here is that your tower should be just fine to support the weight of a person in a hammock as it will be along the same magnitude as what a wakeboarder would create, but in the opposite direction.