A few thoughts:
I think of higher order thinking as a fuzzy concept. It is often used in educational psychology to between surface and deeper levels of subject engagement. It can also be used to discriminate between the kinds of thinking processes often seen as unique to humans.
Inductive reasoning is also a multifaceted construct, but it has both rich links both with philosophy and with cognitive psychology as can be seen in literatures on category learning and causal inference.
Certainly the principled and methodical processes of scientific induction (e.g., inference from data) involves many higher level thinking processes. However, many of the implicit processes of inferring categories and causal processes from experience might not be seen as higher order thinking.