Yes in fact it is correct as per the Constitution, Supreme Court rulings, The DOJ, as well as Federal laws.
It matters not whether you are indigent or not.
Just because someone chooses a defense lawyer (I would state specifically in this case where it appears the representation is indeed ineffective), does not mean that the lawyer of choice is capable of representing their clients effectively.
I could effectively cite numerous rulings, laws etc. but it is common sense that a Court would expect no less from any attorney especially in a murder case where there is the potential for the death penalty.
I did review what most cited previously as per Idaho law and was surprised by the responses.
Here is a basic site that gives the applicable overviews.
"
Defense Representation in Capital Cases
The Constitution guarantees a criminal defendant a right to an attorney and to due process of law.
The Supreme Court has held that legal counsel must provide effective representation. In many cases the appointed attorneys are overworked, underpaid,
or lacking the trial experience required for death penalty cases. "
"Supreme Court decisions addressing representation fall into two major categories:
those that define the parameters of the right to counsel and those that discuss standards for counsel’s performance. Each of these categories is important in the discussion of capital defense practices."
Representation in Capital Cases | Capital Punishment in Context