My recent Sony TV does this.

But also I pretty much never use the TV button to turn it on, I click a button on one of the connected devices to wake it and the TV turns itself on with that input selected. Even if it’s already on, if I want to switch from one device to another I can just wake the other device and it will switch inputs for me. It works really well, I almost never have to use the input selector and it just does the right thing reliably.