I believe that while the file remains open (what will happen until the database is online), the last modified date will not be updated.
I think that it is updated only when the file is first opened for modifications and / or when it is closed. You should not rely on file system-based tools to check the status of SQL Server β use tools built into SQL Server (such as performance counters, SQL logs) or Management Studio (such as Activity Monitor).
For sluggishness, you can see if excessive resource expectations occur, and if so, what types (for example, a lock is waiting or waiting for input / output).
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