Using mushrooms to remove unwanted woodies - Let's dream

Hey folks,
I got some good advice on this topic over here: https://permies.com/t/162229/rid-elms-grow-mushrooms#1271765
But I thought I'd start a new thread on this general idea.

Dream with me here: WHAT IF we could use mushrooms to remove unwanted weed trees, shrubs and brush? I see a few benefits:
-Minimize grunt labor of digging and pulling
-Eliminate trauma to the soil community
-Keep organic matter local and break it fast into awesome soil
-Eat mushrooms

Has anyone experimented with this? I see plenty of advice on inoculating logs (that can be moved around for ideal conditions) and some on inoculating stumps, but it's always the assumption of a large-ish stump. Here are some things I want to know:
-Best practices for inoculating small diameter stumps
-Best ways to make sure the plant doesn't sprout back
-Ways to improve mushroom conditions on a micro-scale (i.e. mini shade tents?)

Some challenges I foresee:
-Small wood will get eaten up fast - might not be hugely productive (ok if the main purpose is plant removal)
-It's tricky to drill a hole in a 1-inch or less trunk. Maybe plug spawn won't work well?
-Once these trees are removed these will be sunny areas, ready to cultivate sunny things. Can we create shade for mushrooms and leave sun for other goodies?
-Where the mushrooms don't take, maybe we've accidentally coppiced our unwanted woodies
-Can't mix herbicides in the strategy or you get poison mushrooms!

In my setting I want to remove weed trees along a fence line and in some future beds and also a hugely overgrown lilac hedge, but I could imagine lots of other applications.

This thread has some good thoughts to get us started (but still focuses mainly on big stumps, not shrubby stuff.)

I’ve been thinking about this a lot lately. There is a good alianthus-specific discussion in this post: https://permies.com/p/897027

I also found this field study report from someone who did eradicate a stand of alianthus with oyster mushroom spawn. It has good detail on how, when, and how well it worked. https://projects.sare.org/sare_project/fnc07-670/

Wow, @Rin, these are SO helpful.

Here's the outline of my plan as it stands. Happy for anyone's feedback or advice, and I'll let you know how it goes!

1) Cut trees of all sizes at around 4-5 ft.
2) Girdle low, just above ground level. Wait 2-4 weeks.
3) For those big enough to maneuver a drill effectively, inoculate with plug spawn
4) For those too small for drilling, cut bark and stuff in some sawdust spawn, then wrap in plastic wrap and duct-tape in place
5) For anything that sends up shoots, let them grow a season or so (until big enough to handle) and then do the sawdust treatment
6) Profit.

My stand of weed-trees is mixed, with mostly elm but also mulberry and ash. I'm thinking of using Hypsizygus ulmarius because of it's connection with elms.

I keep reading that early spring is a good time to inoculate, but it's June now and I don't want to wait that long to get these trees out of the way. Do you think this plan would flop if I tried it in summer?