Ask who will pay for the corrected letter, any registry evidence and professional review. If the legal entity changed, a different procedure may add expenses. Confirm the actual required steps and current government charges before assuming this is only an administrative name correction.
Separate the clerical fix from the legal question
Retrieving corporate records and asking for a corrected letter are administrative tasks with modest cost. Deciding what a genuine change of employer means for authorization is a legal assessment, and paying for it is a better use of money than assembling a full package on the assumption that nothing substantive changed. Establish the fact before committing to either path.
Price the two paths separately before choosing. A corrected letter and a registry extract are ordinary administrative costs; a genuine change of employing entity may require a fresh request, and possibly a Form I-129 petition, with its own government charges and preparation time. Ask the employer in writing which costs it will carry — many will pay for a letter they caused to be wrong, fewer volunteer for a second application.
Hypothetical example: an eyewear company absorbs the cost of reissuing letters for its whole transferred team but declines the individual credential evaluations, which were already each applicant’s responsibility. Do not budget from remembered fee figures without confirming current amounts, since these change and an out-of-date number is worse than none.