Resolve payroll interlock issues causing assignments to be missed in the payroll runs (UK)

We have multiple assignments where they are on the same Payroll Relationship but different payrolls. They also have separate HMRC ID's for statutory calculations (PAYE). When we run the payrolls sequentially all is fine, but if they overlap then there is the potential for interlocking and some of the assignments not being processed at all.

I was wondering if, by separating out any assignments under different payrolls under separate payroll relationships would resolve this interlocking issue. Although the LE/PSU/TRU are the same I can see no negative impact to doing this, but not sure if it would be even beneficial