I have no direct observations on this topic myself but I remember receiving a newsletter a while ago that may be of interest [0]. The author says that about half of general market is for clients that "Whether or not they choose to explicitly acknowledge it, they look for an element of therapy or life coaching in their relationships with consultants they hire." but tech companies are a smaller proportion of the market and generally want a consultant to guide them philosophically.
An important distinction perhaps is the difference between consulting and being a contractor. If you're looking to go down the consulting path I recommend reading the other posts in that newsletter.
[0] https://artofgig.substack.com/p/elements-of-consulting-style