There is a difference between "correction" and "clarification". Paul's primary goal was to preach the Gospel and bring souls to Christ. That did not mean that other important things such as baptism and discipling would be neglected. His companions and helpers were fully involved in the whole gamut of Christian ministry.
Well think about it this way. Can something really be true if it is full of errors of fact or doctrine (beliefs)? And if inerrancy should only be limited to the original autographs, then Christians are worse off than Muslims (and others) who staunchly believe that their holy books are free from error. The fact is that God also PRESERVED His Word in such a way that 95-99% of all documents pertaining to Scripture agree with each other (barring minor differences). This has also allowed textual scholars to determine which manuscripts are corrupt and should be discarded (and they are but a handful).