Would this inverter setup be wise?

[cmpcpro (Chris)]

He guys I just recently bought a Multiplus2 and a Vetrer 480ah 12v lifepo4. My current led acid batteries are in the front passenger side of my 35ft rv and my 120v transfer switch where I need to add the inverter at is in the back drivers side corner… I was going to have to disconnect the converter and remove the current two 6v batteries running 12v and use a dc to dc charger which I just spent $300 on and run it all with some very long running cables (I was told it’s better to run long 120v than 12v runs), but I just started thinking I wouldn’t have to mess with my battery control center (to un tie the chassis and house batteries together when charging) or the dc to dc charger (although I could use it to charge the lithium when driving) if I just ran the inverter and the lithium in the back corner where the lithium just was used for the inverter and kept my led acid for my 12v house system which when the inverter is running the converter would be continuing to charge… would this be a good setup rather than trying to remove my current led acid batteries and using the lithium for the house and the inverter? Thanks!