"Mr. Comey said something in his letter that was inaccurate to begin with," Holtzman said on CNBC's "Squawk Box." "He said these emails appear to be relevant, but he hasn't seen them, and no one in the FBI has seen them."
Holtzman, a former member of the House Judiciary Committee, said making such an announcement just days before an election creates "confusion, misunderstanding, and misinformation" and implies wrongdoing that may be unfounded.
However, Republican former congresswoman Nan Hayworth told "Squawk Box" that based on Clinton's flawed handling of confidential information in the past, this issue should be front and center.
"It is fresh evidence that we need to question very seriously what we already know about Hillary Clinton's lack of integrity, lack of care, of her dishonesty about what she did as secretary of state," Hayworth said.
Hayworth said Clinton's inability during the initial FBI hearing to recall prior processes, events and actions relating to her emails should call her candidacy into question overall, and bring these recent developments to the forefront.
Holtzman shot back that it has not yet been confirmed that the newfound emails even relate to Hillary Clinton.
The FBI this weekend obtained a warrant to search through emails on disgraced ex-congressman Anthony Weiner's laptop. Weiner's estranged wife, top Clinton aide Huma Abedin, is said to have used the computer to send emails to Clinton.