Other feds are attracting lifters by allowing multi-ply gear, not using an approved gear list for single ply, and not mandating the exact shape of your underpants when competing (seriously), and allowing for specialty bars for each lift.[1]
If the IAAF wants to go down this rabbit hole of limiting the assistance that equipment may provide, they might end up with a list of approved shoes if they aren't careful, or breaking the race into barefoot, foam sole, and springy sole divisions. That just increases the cognitive load for fans and in my opinion decreases the prestige of the various champions who have an asterisk by their records.
[1] There's also the whole angle of drug testing: the IPF is the premier drug tested international fed and the USAPL (its US affiliate) is the premier fed in the US. Competing feds without drug testing have actually started adding tested divisions presumably to attract lifters who want to be competitive without drugs.