The article doesn’t say that the “Kasich Camp” said anything. It’s simply some spinmeister’s analysis of the anti-Trump sentiment.
Whoever wrote the thing is just using "Cruz" and "Kasich" to represent the more conservative and more liberal wings of non-Trump Republicans.
The writer could just as easily have said "Bush Bunch" -- except that Bushies were a very small group this time around.
Kasich recently said something like “I don’t know if I can vote for Trump.” That seems to be the standard line for GOP establishment anti-Trumpers now. Digging past the BS, this really means “I’ll be voting for Hillary in November.”