Service Broker "Broker Enabled" option goes from true to false when performing backup/restore of DB
Can any option be set when performing either the BACKUP or RESTORE command that retains this database option?

Edit: you can restore the database with ENABLE_BROKER. Check the sample below:
RESTORE DATABASE [WideWorldImportersA] 
FROM  DISK = N'C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\Backup\WideWorldImporters-Full.bak'
WITH  FILE = 1,  
MOVE N'WWI_Primary' TO N'C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\DATA\SB\WideWorldImporters.mdf'
,  MOVE N'WWI_UserData' TO N'C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\DATA\SB\WideWorldImporters_UserData.ndf'
,  MOVE N'WWI_InMemory_Data_1' TO N'C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\DATA\SB\WideWorldImporters_InMemory_Data_1'
,  MOVE N'WWI_Log' TO N'C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\DATA\SB\WideWorldImporters.ldf'
,  STATS = 5, ENABLE_BROKER
GO