Exactly ! , I  yesterday installed  first time lansweeper and this was a huge problem for us , we have a lot of secuirty restrictions/policies  to names, ACL's users etc , and installer should allow to specify : 
MSSQL user name (not only internal SQL user , but AD user too like: DOMAIN\lansweeper.mssql , 
MSSQL DBNAME : MyOWNDBname
Tick to select  - run lansweeper service as : -> NETWORK SERVICE/LOCAL SERVICE/ 
specified account -> and here you can enter  : DOMAIN\lansweeper.ad.admin 
etc