No. A marriage certificate obtained online is the same as one obtained offline. This has been the case since January 2020, when the state of Utah switched to a fully digital system for issuing all marriage certificates.
Therefore, nowhere will it be written that your marriage was performed online, which means it is recognized in all 150+ countries that recognize apostilled American documents.
The marriage certificate issued by the state of Utah after an online ceremony does not indicate that the marriage was conducted online or remotely. The certificate looks the same as certificates issued after in-person ceremonies and does not contain any information that the ceremony was virtual, online, or remote. It only contains basic legal information: names, dates, location, officiant, and witnesses. This means that anyone who receives it, including authorities in other jurisdictions, will treat it as a standard Utah marriage certificate with no indication of an online process