Hi Maia -- there's a difference between hangovers and withdrawal.
Hangovers are what "normies" get when they drink too much. There's the body's way of responding to the insult of excess alcohol consumption in the short term.
Not getting hangovers any more is a bad sign. It means that one's alcohol addiction is progressing.
Shaky hands and sweating are withdrawal symptoms. They are what happens when the body develops an addiction to alcohol over the long term, and then the alcohol is taken away. They can get so bad that the only time they go away is when the person is drunk. In advanced cases, withdrawal from alcohol can be fatal.
I didn't have "hangovers" per se for the last 10 years of my drinking, but my withdrawal symptoms got worse and worse, and lasted longer and longer during periods of sobriety.
The only cure was to quit for good.