How many concurrent statements does C# SqlConnection support?
You can technically have multiple "in-flight" statements, but only one acutally executing.
A single SqlConnection maps to a single Connection and Session in SQL Server. In Sql Server a Session can only have a single request active at-a-time. If you enable MultipeActiveResultsets you can start a new query before the previous one is finished, but the statements are interleaved, never run in parallel.
MARS enables the interleaved execution of multiple requests within a
single connection. That is, it allows a batch to run, and within its
execution, it allows other requests to execute. Note, however, that
MARS is defined in terms of interleaving, not in terms of parallel
execution.
And
execution can only be switched at well defined points.
https://learn.microsoft.com/en-us/sql/relational-databases/native-client/features/using-multiple-active-result-sets-mars?view=sql-server-ver15
So you can't even guarantee that another statement will run whenever one becomes blocked. So if you want to run statements in parallel, you need to use multiple SqlConnections.
Note also that a single query might use a parallel execution plan, and have multiple tasks running in parallel.
SqlConnectionclass is not thread-safe.