well in layman terms one has acid and one doesnt and uses dry cell instead. infact they are all lead acid batteries, the actual types of batteries are wet cell which comes in both maintenance (electrolyte) and maintenance free versions. the other types are gell cell and absorbed glass mat (AGM) found on some mercedes cars. The gell cell and the AGM batteries are specialty batteries that typically cost twice as much as a premium wet cell. However they store very well and do not tend to sulfate or degrade as easily as wet cell. There is little chance of a hydrogen gas explosion or corrosion when using these batteries; these are the safest lead acid batteries you can use.
now i used a BOSCH maintenance free battery in my ellen not hankook, but it did have hankook before. as compared to normal wet batteries wet batteries if having a PROPER PREPARED ELECTROLYTE are cost effective and last longer. but bearing in mine the capital letters which are rare. i always prefer dry batteries personally as they are maintenance free, i find them they hold good charge if car is stored for long periods of time and little to no corrosion on terminals compared to wet battery.
in the end all about how much you are willing to spend, a normal properly prepared fresh electrolyte battery is good and would last long and is cost effective, hankook one for my ellen which was i believe 43amp costed 6500rs and the bosch one which is from their s4 series was 10,000rs, as your car is jdm also make sure the terminal size is correct according to the battery and its correct placement.
hope i cleared any debate on these batteries. end choice upto you.
as for brands in dry, bosch and AC delco i find best, hankook and panasonic also good. btw the dry volta battery in my generator outlived the hankook battery by more than a year. though thats due to car an genset being different applications it was still poorly constructed and used to have bigger drop in voltage but never went dead, so its actually not a bad option if have less budget and want a dry battery. check the manufacturing date on whatever battery you buy, a fresh battery is more important than the brand. hankook's are typically fresh