As for getting a servant cook to make them food... you still need to pay for the fresh ingredients and the packaging if you don't want your Cosmo equipment to become a cesspool of food jumbled together.
"We can buy some restaurant or street food but dried food would be the most convenient and best for travel." Shen Tianyu told them as much but didn't bar them from buying non-dried food. They were all of high standing, one way or another and it was certainly better for the taste buds if there's a variety of taste.
Honestly, she also wasn't too inclined about eating dried fish and nuts for the next few weeks despite being able to do so from her younger years.