[MP2759] Power path management beyond the limited IC current

When implementing power path management (power input charging the battery OR power input supply the load), does the IC limit the current according to its logic, in the case when the power suppies the load directly? or can I get boosted current “freely” (according to the power input and the load of course)?

Thought about implementing this DPDT relay solution…
Need around 20A supply. But the relays are HUGE for my application (and expensive…)