I am sure that any short investigation that you have conducted on the subject has quickly answered you question. If you advertize as being certified, you probably should be. In order to be certified by any entity you will have to meet certain requirements. In the welding and metal joining industry this will most certainly require you to certify your welders to meet the requirements of the code you have mentioned, and although you did not specify, unless it is FC2002, you will assuredly have to certify.

AISC Certification doesn't seem to mean all that much around here sometimes.  We're bidding against other AISC fabricators and also those who are not.  If a non AISC fabricator is the lowest bidder, many times, AISC requirements are waived and the job goes to the lowest bidder.  Regardless, I still support the certification.  The frustrating thing is that these low bidders don't play by the rules.  They have very little knowledge of AWS, AISC, RCSC, and SSPC criteria and they take quality shortcuts that jeopardize structural integrity.  I just wish the EOR's would require third party inspectors in non-AISC plants during the fabrication process when the certification is waived.  I'm aware of the AISC's "No More Waivers", but if an AISC fabricator is outbid $150k on a job by a non AISC fabricator, and that fabricator gets hit with 50k in backcharges on the job, the owner still saves $100k.