did the author give up completely? sure the LN and manga will take a while to catch up but will there be an ending at all?
Not every author keep continuing the WN when they got adapted to LN. Most will probably focus on the LN. or they could be working on different titles and thus not updating the other story for a while.
http://tsukimichi-game.alphapolis.co.jp/ DNS error DNS error (the host name of the page you are looking for does not exist) Please check that the host name has been spelled correctly.
Why continuing the webnovel when the author already got light novel publishing. Japan's webnovel(syosetu) are not like China that have paywall. They publish there in hope to get LN publisher to notice their work
Have a look at the LCD latest page: https://forum.novelupdates.com/threads/tsuki-ga-michibiku-isekai-douchuu.2004/page-320 . To summarise what was said: The author is taking some personal time off after sorting out real life stuff/loss of family and is travelling now, while having shown intention to come back and continue writing eventually.
アルファポリスは本日（2017年12月18日），PCブラウザゲーム「月が導く異世界道中」のサービスを，2018年3月19日18：00をもって終了すると発表した。 TL+tldr; The game shut down on March 19th of 2018.
Those things are the reason for hiatus of wn. Like it or not, author is mortal with mortal limitation. Ignore that and you would end a subpar story at best dead wn at worst.
real life problems and loss of family thats why he stopped, and now he is kinda just soul searching for now and will comeback eventually
You can find this info in the recent discussion of the actual novel discussion. I suggest people look there first, then ask such question here. Over all, I name this novel the novel version of hunter x hunter.
yea but overlord LN has many differences from the WN while this one LN and WN are kinda ...the same...