The idea that God sustains – his action is not limited to specific discernible moments – is a key point.
Some views of Theistic evolution fall into a trap of deism, but so can any form of creation – including a YEC view.
The idea that God must intervene to make creation right at various points is even less palatable … the original course wasn’t correct so God nudges. Couldn’t God get it right the first time?
But God is creator and sustainer – intimately involved in the world past, present, future. In my mind the main point is that the idea of natural versus supernatural is misleading. The phenomena we explore and describe through science are not separate from God’s work – they are his work.
It seems to me though that supernatural is best seen in relationship – the relationship and interaction that God has with his people, individually and collectively.

It is interesting to look at Hebrews 1 and Colossians 1:17 in light of Walton’s ideas.

Scot, your summary makes it sound like Walton ties “theistic evolution” to deism, but that isn’t what he says.
He makes this statement about “some permutations of ‘theistic evolution’” (120). As RJS says, there would be some who fit that label but many others of us who would affirm God’s ongoing presence in and with natural processes, including evolutionary processes.
I think the major point in this section is that the often-made dichotomy where “natural processes” and God’s work are seen as mutually exclusive is a false one. That false dichotomy is at the root of the “god of the gaps” fallacy where gaps (failure of natural explanations for things like the development of life) are seen as theologically necessary because those gaps are the only place God is seen as really acting.
As Walton mentions, “creationist” views can also have deistic aspects. I have heard views of some ID proponents (this would not fit all of them, but for example Phil Johnson seemed to have this framework) described as “stroboscopic deism”, seeing nature as running on its own (with God absent) except on those occastions when God intervenes to intelligently tweak something.