I've been through the process of litigating a contract in court. Not fun, but definitely was an exquisite education in the school of hard knocks.
Lawyers throw all kinds of language into a contract, that doesn't mean the intent was there. Vague, unfair, or overly broad language that was not clearly understood by both parties tends to get reduced, removed, or modified in accordance with what both parties reasonably understood to be the intent. So if they tried to get overly sneaky and do something where the basically version says X, but the full clause says we do X,Y,Z, then the courts may very well rule the implied intent was X but Y and Z were not implied and agreed to.
If they understand what they are doing, and plan to strictly abide by the basically section, this is a fantastic idea. If they at some point decide they want to get sneaky and put something in the detailed version that is not covered in the "basically" section, they may well find themselves in a world of trouble if it comes to court.
My experience was a company trying to sue me, despite them breaching the contract. The judge took a dim view of the crazy clauses in there and was pretty sharp with them. I expect the same thing would happen here. A normal user would probably abide by the "basically" section and the courts would probably take that interpretation. Of course YMMV.