I would hope that a competent general inspector would at least know enough about each component of the house, that they could refer you to a specialist (roof, foundation, etc) if they deemed it necessary.Where I'd supplement the generalist with the specialist is when the former said they were genuinely unsure about the condition of a specific component which required a specialist's knowledge to assess. 

Most of my Turnkey Clients have to catch a flight back to California so we are always a little rushed anyway and Regus isn't good about unexpected visits and they charge you for missed office time. 

Look at major components like the roof, foundation, HVAC, electrical, plumbing, water heater, water and sewer connections, etc. 

All of those things can be dealt with, but I would say those are the key things that seem to be deal-breakers for most of my clients as they can have major expected and unexpected financial implications. 

You have to be prepared for the unexpected.

Because both components are wood, it would make for a really nice transition for the stairs to the floor instead of having to come up with something else for the transition (for instance that parquet ought to have had a metal or wood trim strip to hide the seam between the parquet and bullnose).

I like to keep 5-7k fluid for maintenance or unexpected items coming up.

Unexpected maintenance and repairs, tenant and toilet issues, vacancies. . .this can keep you awake at night.Instead, consider a cooperative assignment. 

In order to secure more favorable long term financing I deeded the property to my personal name before beginning the refinancing process.Also When purchasing vacant properties always budget for the unexpected. 

In my experience, I have found that you never know where an great opportunity will come from next...often the unexpected relationships.