I think the underlying issue is absolutely a power struggle.
Until recently, the general understanding was that each network operator was responsible for the clients inside their network - and therefore also had the ability to set the network's configuration.
In 99.99% of the cases, this included access to nonlocal sites on other, public network's, aka "the web", but this was nowhere technically required. Browsers and other DNS-consuming apps were perfectly capable of working within other networks. What a DNS name resolved to was technically a property of the network.
By now, this model is shifted towards the Web as a platform with browsers and DNS as clear parts of it - a platform that is incidentally pay-to-play and centrally controlled by the US because at the very least you need recurring payments for your domain and you need to give companies and institutions located in the US control over your machine.
This shift has been going on for a long time, but I believe HTTPS-everywhere and DoH have served to make this unignorably obvious because those bring the concept of the web platform into the technology stack itself.
To make the tired old car analogy again: In the vast majority of cases, you will drive your car on the public road network and nowhere else. However your car is technically capable of driving off-road or performing highly questionable maneuvers in your backyard because the car itself doesn't have any concept of "public roads", "private roads" or "non-roads". DoH would be adding a device that turns off the engine as soon as you're not on a public road. What exactly constitutes as a "public road" is determined by the car manufacturer.
I do agree that in the long run it might be better for ensuring that "the web" is the same no matter from where you visit, but I think it's definitely more than a simple technical change.
I also think all the heuristics, opt-outs and special rules for corporate network's don't cut it, because they relegate the current default case to an uncommon special case - and developers have a habit of ignoring uncommon special cases. I wouldn't be surprised if we see a lot of non-browser apps and devices in the future that use DoH by default and that an administrator would have to reconfigure by hand for each single installation - or that are simply hardwired to some set of DoH servers without any way to configure them at all.