Maybe. My largest KB is 24kg currently. I've gotten to where 10 getups in 10 minutes is routine. That certainly increased my shoulder strength. Many would say I need to start working in the 32kg bell, but I'm not going down that road.
I'm not saying it's a bad plan, but for a man that weighs 60 kg and wants to be better at pressing 16kg, the risk-vs-reward of trying to get there with 32kg TGUs just doesn't seem right. I don't think I'll attempt a 32kg TGU before I can press 24kg.
I humbly say this ..
If you keep this mentality then you will always be limited..
As a guy who weighs 143-147 I used to have a similar mentality in terms of swinging heavy bells and doing getups with heavy bells..
Until I developed a paradigm shift in mentality, the bells do not scare me that much anymore but rather I know they would require more work but can be done...
If you upload a video of your 12 and 16kg presses, we can give you feedback so you can make more improvement that a 16kg press would not longer feel like a feat for you