Most of what I remember of the lore on the matter suggests that Ishgardians are extremely conscious of the Pact of Gelmorra and their own need to abide by it when in the Shroud. They've had a very fruitful relationship with Gridania for 100 years and I can't see them wanting to damage that.
V'aleera's Wiki - https://wiki.ffxiv-roleplayers.com/pages...eera_Lhuil
V'aleera's Tumblr - valeeralhuil.tumblr.com
V'aleera's Tumblr - valeeralhuil.tumblr.com