It more or less does if your local DNS is just presenting DoH as normal DNS to every device on your LAN, since most devices let you configure DNS per network (even smart TVs, which is nice) but may not have any option for DoH. But at some point you have to trust someone.
> It more or less does if your local DNS is just presenting DoH as normal DNS to every device on your LAN
That's more of a proxy than running my own.
> But at some point you have to trust someone.
If I do my own recursive queries from multiple networks, I don't really have to trust anyone. (I mean, that's still trusting authoritative servers, but arguably they're correct by definition.)
Though I could also ask multiple diverse DoH servers to get a similar effect.