I trained at the school you’re referring to and it is absolutely possible to book out two-lesson blocks.
I went up with multiple instructors during the early phases and learned a lot by doing so because they each provided slightly different perspectives, which I have blended into my own.
My opinion about the time associated with ground checks is they are integral to our training and flying experience, each and every time we fly and they need to be thorough and never rushed. During one of the checks I discovered an issue which led to the plane not going up and we used an alternative.
My advice based on my own experience is: find an instructor you’re comfortable with and book double lessons and agree with them up front what you want to achieve.