I checked the local names for wagon versions of i30 and i40 models, I put them in comments on the single pages. For the older Lantra/Elantra models it will need some more time, because the documentation is more difficult to be found

For reference, these are the local names I've found so far:

i30 [FD]
AT: i30 cw
AU: i30 cw (sourced from Korea)
BR: i30 cw
CA: Elantra Touring (sourced from Korea)
DE: i30 cw
DK: i30 cw
FR: i30 cw
IT: i30 cw
NO: i30 cw
NZ: i30 cw (sourced from Korea)
PL: i30 cw
SE: i30 Kombi
UA: i30 cw
UK: i30 Estate
US: Elantra Touring (sourced from Korea)

i30 [GD]
AT: i30 Kombi
CZ: i30 Kombi
DE: i30 Kombi
FR: i30 Sport Wagon
HR: i30 cw
IE: i30 Tourer
IT: i30 Wagon
LT: i30 Wagon
NL: i30 Wagon
NO: i30 Stasjonsvogn
PL: i30 Wagon
SK: i30 Kombi
UK: i30 Tourer

i30 [PD]
AT: i30 Kombi
BE: i30 Wagon
CZ: i30 Kombi
DE: i30 Kombi
IT: i30 Wagon
NO: i30 Stasjonsvogn
PL: i30 Wagon
SK: i30 Kombi

i40
AT: i40 Kombi
AU: i40 Tourer
CZ: i40 Kombi
DE: i40 Kombi
FR: i40 Sport Wagon
IE: i40 Tourer
IT: i40 Wagon
KR: i40 (opposite to i40 Saloon)
NL: i40 Wagon
NO: i40 Stasjonsvogn
PL: i40 Wagon
RU: i40 Universal (locally made)
SK: i40 Kombi
UK: i40 Tourer

I also have to correct myself: I was thinking that the i40 wasn't available in South Korea, but in fact it has been from a certain time: https://autocatalogarchive.com/wp-content/uploads/2016/10/Hyundai-i40-2016-KR.pdf
Seems that it was badged simply as i40 in wagon style and as i40 Saloon in sedan style.