Players spend many hours grinding for the infinite pot but are burdened with the minor inconvenience of storage maiding their pot every time they wanna go from their tagged characters. Well since the devs decided to add the family inventory function I feel like it's pretty counterproductive to not allow the infinite pot to be put inside it. Players are allowed to place regular pots inside and from people I've talked to they also forget to put the pot into storage and take it out sometimes. So I feel like most players would find this pretty convenient.
I'm sure most people would agree with me that this would be a pretty nice quality of life change since the whole point of grinding for the pot is for convenience purposes.