No I don't say they are identical(the law states no such thing), but I do construe "right to counsel" as something more than using someone else's counsel especially when there are potentially colliding interests.
That doesn't get you anywhere near universal representation for the incapacitated unless you, again, define conflict of interest so broadly that nobody can possibly avoid it. For situations where there appears to be the potential for conflict of interest, we have judges and other to evaluate on a case-by-case basis. This is not even in the same solar system as counsel being automatically required in all cases.