Profiler will capture all insert statements, sure, but what if it is a
single INSERT INTO table SELECT * FROM BigTable?  Or a join?  What about
SELECT INTO statements?

If you want to monitor rowcounts of key (or all) tables over time, I would
periodically stuff row count values from the DMVs into a table, then you can
easily see deltas over any time frame that your collection is running.

For example,

CREATE TABLE dbo.TableRowCountLog
(
   TableName SYSNAME,
   [RowCount] INT,
   PollTime SMALLDATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP
);

Then periodically:

INSERT dbo.TableRowCountLog(TableName, [RowCount])
SELECT OBJECT_NAME(object_id), MAX(row_count)
FROM sys.dm_db_partition_stats
-- WHERE OBJECT_NAME(object_id) IN ('list','of','key','table','names')
GROUP BY OBJECT_NAME(object_id);