With regards to the charging power all going to the house bank, I MUCH prefer this to the other way around. If one increases their alternator charging amps and they have it going to the start battery, more B2B chargers need to be added to take advantage of that extra power. The start battery really only needs a small amount after each use. I went with an 18 amp B2B as it was a bit cheaper and honestly, unless the battery was COMPLETELY dead, I will never get to a full 18 amps.
Putting alt charging direct to the house does also require a high quality remote regulator that has the ability to specifically set the charge profile for lithium and monitor alternator case temps, but any good house bank charging system should be remote regulated for a boat that is meant to spend multiple nights away from a dock.
Let me know if you have any questions about the set up.