I think you might be confusing terminals. Japanese cars have smaller T1 terminals on the battery and the car has T1 battery leads to match. . European Batteries have bigger T3 terminal and the car has T3 battery leads.
Some batteries and cars have T posts which have a hole,and leads with a hole, and they are connected together using a nut and bolt.
You can buy adapters to make a japanese T1 battery terminal bigger so it will fit a car with T3 battery leads . Not ideal as there are now two points of contact that could corrode ,lead to adapter, then adapter to battery post ..
But to fit a larger T3 battery into a car with smaller T1 battery leads you have to change the battery leads to T3. You might be able to fit new T3 terminals to the end of the existing battery leads. There may be an adapter but again this is not ideal as there will be extra connections . Better to replace the entire battery leads with ready made T3 ones. (or Bolted post type leads if that suits an available battery. )
Converting a battery from T1 to T3 and then changing the car from T1 to T3 so it will fit seems pointless
unless the leads need replacing anyway.
I hope this makes sense, and I havnt missed the point somewhere.