Earlier quoted context omitted.
That was not the reason. But it was the reason that C, as standardized, adopted several C++ innovations first.
It was definitly the reason, by 1992 it was impossible to buy a C compiler that also did not had a C++ one in the box. Also why Apple moved from Object Pascal to C++ on MPW.
Apple, particularly, was not strongly influenced by Bell Labs or UNIX. Apple A/UX–a UNIX for Macintosh, a niche product from that period–shipped without a C++ compiler. MPW in 1992 shipped without a C++ compiler.