The key issue is the protocol seems to have no ability to associate with multiple BSS's together.
It's so nearly there. The power management stuff means that even with single a physical radio one can associate with multiple BSS's on different frequencies by telling one BSS to hold packets for you while tuning in to the other frequency.
All that's needed to make it reality is a way to tell a BSS "If I fail to ACK a link layer packet, please forward it via the wired network to this other BSS to send to me instead".
Then a client could be connected to multiple BSS's, send packets via either, receive packets via whichever one it is currently tuned into, and not lose any packets while switching.