Pergola - external structure attached to house

Thank you for your input. My replies are as follows:

a) Talking with the company, they cited 'The InterNACHI Standards of Practice. I’m confused as to what actually applies to this situation. I would appreciate specific detail for this. Thanks.

b) This Pergola is NOT free standing.

This structure IS fixed to the trim of the house, above a window and a patio door via purlins sitting on brackets - which should be nailed/screwed into place - this latter part is the issue.

There are upright beams are approx 8 ft away and are braced by the purlins and a cross support beam.

There are a number of joists which act as sun shades BUT these have been uniformly put on so it kind of has a look like someone took a saw and cut them down the middle of the structure.

My point is this. As decking and stairs are included in the home inspection then this structure which is part of the overall house structure as a) it is attached physically to the house and b) it cannot stand alone, should surely also have been included?

If I could post a picture I would do so.