Is the Hand pattern probabilities equal to suit pattern probabilities?
Yes, and the tables are used in exactly this way by Contract Bridge analysts and experts.

However, be careful when extrapolating from these tables to perform analysis based on your own holding in any suit, not just the suit under examination. The formulas for properly calculating conditional probabilities are non-intuitive.

A good first test that you are understanding  conditional probability is a clear grasp of the Principle of Restricted Choice.