A lot is going on this thread, and I would just point out 1 thing regarding "hinge type base plate".
Your base connections can be fixed or pin.
Depends where you place your bolts around column. If bolts are insider flanges, its pin, if outside, fixed or moment. You will have to design the baseplate accordingly.
Also the connection of column to baseplate matters and you can achieve a pinned connection by welding in a special way but to keep things simple, assuming fully welded column to baseplate, stick to bolt layout to determine if its pin or fixed.
Rest, you can transfer the loads like you said. Follow free body.
Thanks.