Store all the things! Warehousing provides high capacity storage buildings, including logistic network versions.
Mods introducing new content into the game.
More than just chests.
Would active provider, buffer, and requester warehouses and storehouses count towards the Logistic Network Embargo achievement?
Assuming my interpretation of this line is correct, no, they wouldn't block the achievement.
However, using mods at all does disable Steam achievements, if that's what you're after.