It's common to use the travel eSIM as "data only" and set it so calls and texts come through on your existing number (SIM). This way you receive KakaoTalk and SMS verification on your original number while using data on the cheaper local eSIM.
If the speed is slow, turn off automatic network selection in Settings and manually select a different local carrier (when the product supports multiple networks). If the signal is weak indoors or underground, briefly toggling airplane mode on and off can also help.