Fixed assets with multiple LE's and BSV's

Hi, All Experts.

We are planning to have only one FA corporate book.

but my concern is .... we have 3 LE's and each Legal Entity(LE) has 5-6 BSV attached to it.

For all these above 3 LE's we will have only one Asset Corporate Book.

I am not sure if the accounting will be addressed right ??? as I have only one book then For each category only one BSV can be configured.

But I am not sure if a different BSV used while adding the Asset then will the SLA take care of creating the right accounting entries ???

For example : Default accounting was configured for Company 100 - BSV then If I am adding 101 company asset now in this asset book then will the SLA produce the right accounting entries?? if not then What would be the solution ??