Yes and No.
This is the important thing "The total loading should be accurate, but it may not calculate how the load is divided between the two." You are right. I solved the problem thanks to you, but it wasn't an assembly-connection problem.
The thing is that while assembling, I decide to put the final part as an "eraser part", I haven't modeled correctly that part yet, it was like a basic representation of the real part, so it causes a huge collision in the assembly. That huge collision, causes that the system wasn't able to "calculate how the load is divided between the two.". I did run my mechanism one member at time, and yes, that was the result.
In conclusion, be aware of huge collisions, it causes redundancies.