The vendor will have a best practice guide for SQL Server on their SAN.
I suspect it may suggest otherwise.
I'd most certainly keep SQL Server and "Other" storage totally separate - and that includes the OS drives for SQL Server boxes. Many (not all - the one at my place is spot on) simply regard a SQL Server box as another file server, it's most certainly not - totally different situation and requirements
I'm a DBA.
I'm not paid to solve problems. I'm paid to prevent them.