Making $20 million a year SaaS companies into $22 million a year SaaS companies. If you have reasonable expectation that I can actually deliver on that, then you're pretty much willing to say yes to any rate I quote.

If you're curious "How does one turn a $20 million a year SaaS company into a $22 million a year SaaS company?", there exist many options depending on the specifics of the company and virtually all of them are doable. For example, if you increase the rate at which the SaaS company closes deals by a modest amount, that could reasonably hit that by itself. You could do that by some combination of A/B testing, better email marketing, tweaking sales processes, etc, alone or in combination. I've blogged pretty extensively on all those topics if you're curious.

These are not necessarily all that technically complicated. If you can figure out ActionMailer, an if statement, and a for loop, you have every technical capability you need to be an engineer in charge of email marketing. The interesting bits are "What emails do I decide to send?", "What words go in those emails?", and "What goes in the if statement?"

The actual work is exactly as dominated by meat-and-potatoes execution ability as you think it is.

Strategic advisory work. As an industry analyst, I would get paid up to about $18K per day from large clients. (Really a day plus travel plus prep plus some follow-up. And sometimes two of us would do the engagement.) But, still, $5K-$10K per day although we didn't get that level of engagement all that frequently. $10K-$20K is also the rough going rate for speaking at sales meetings, etc.

$2K or so per day was more routine for reports on a variety of topics (competitive analysis, strategic options, etc.) Expert legal work is probably in the $400-$500/hour range.

I can't give any details, but the largest bill I've seen was $1M for ~2 person-weeks worth of work; it was clearly demonstrated ahead of time that it would save the customer about 10x that, and the customer had tried twice already to do it in-house and failed (it was way outside their core expertise).

Imagine you are running a business making $30 million in annual revenue. You run into someone that reliably assures you they are able to increase your sign-up rate by 1% by optimizing your sign-up flow, SEO, and other general magic. This 1% increase in sign-up rates is easily worth $1 - 3 million to you. As a business man, the only question in your mind should be "When can you start?"