GZ dont advise the upgrade to LiFePo or Li-ion forthe AGM yeti's, but that said its never stopped the crazy minds on this forum, as the Yeti 1250 thread above has shown. There are some "drop-in" style LiFePo units that are designed to replace AGM cells, Bioenno do one that fits in the smaller yeti 150 (link in one of my posts)
The key if you go down the DIY Cell array or the drop-in path is the BMS. As long a the pack voltage matches the cut-off voltage of the AGM previously it should (in theory) be fine as the cell cannot be overvoltaged as the unit cuts off as it would with an AGM cell in its place.
The 400 takes an 33ah cell, i have seen the "drop-in" LiFePo for circa £150-300. it would massively help the transportability of the unit if it was lighter.