Perfectly reasonable, until the executive decides to pack the court, and then renege on / "creatively reinterpret" their shiny new "bill of rights" (or even just simply amend it).
You say "merely", but that's the whole dog and pony show. This isn't some abstract, ideological exercise, the current government wants to pass laws that would currently not fly in the ECHR court. If they didn't, there would be zero practical need to change the current state. Ask yourself which bits of the ECHR you think are worth doing without?
Remember, the whole point of the ECHR is to prevent the oppression of a people by their government. Having the court be drawn from a range of different nations and not having any single government exclusively in control is a feature, not a bug.