Can you see how the eyebolts are fastened?
The original anchor points are likely reinforced from behind, and distribute the load evenly into the camper frame. The eyebolt may or may not be fastened right. For all I know, one of the previous woners may hae put it there for a clothesline...
The eyebolt itself may or may not be strong enough - you don't know how much load it can take before it breaks. Probably/possibly less than the original anchor.
I guess that is why the manufacturer wants to see how it is done, and what was done.
The eyebolt doesn't look to be very far behind the original anchor point. Is there a specific reason why you can not use these?