I have done a little research and it doesn't seem far fetched if you are able to design it carefully. Below are some of the more interesting things I found online about doing it. Some propose and one researches a pretty simple parallel connection with care given to voltage ranges and perhaps ratios of LFP to LA. Others suggest more complex solutions, and some of the commercial products might be simple or complex, I don't know.
This article researches doing it in remote medical clinics:
https://juser.fz-juelich.de/record/829025/files/PE_070_Christiane.pdf
This forum discussion gets a ways down the path, but then drops off. I would like to know what they learned:
https://community.victronenergy.com/questions/19981/mixing-lead-acid-and-lithium.html
This product is a LFP extension to LA battery, but they only do it in 12v apparently:
https://www.bos-ag.com/products/le300/
Finally, I found the discussion in this article interesting in referencing a device by Goal Zero that combines them:
There are pros and cons associated with the two main battery chemistries used in solar + storage projects. Lead-acid batteries have been around much
www.solarpowerworldonline.com
I am curious if the differences in charging voltage might be addressable with the LFP simply being limited in its range by its BMS. Also, couldn't the parallel LA battery save the charge controller from going to smoke when the BMS cuts off charging the LFP in too cold of weather?