If you're looking for a definitive solution to reach Cunard's customer service, using Claimyr can be a viable option. It takes the hassle out of long wait times, especially if your issue is urgent. However, it's important to weigh the pros and cons, like the additional $20 fee and whether it's worth it for your needs. It's a service that works, but not everyone might feel comfortable paying extra for customer service access. Additionally, reaching out via social media or email can be effective alternatives. Social media platforms often prompt quicker responses due to the public nature of complaints there. Email provides a documented trail of communication. Moreover, attempting to call during non-peak hours can sometimes yield positive results. It seems that with the increase in post-pandemic travel, many companies are experiencing higher volumes of inquiries, so a combination of methods might be the best approach.

I've been in the exact same situation! After reading through everyone's suggestions, I tried the early morning call trick that @Natalia Stone mentioned and it actually worked - got through in about 20 minutes around 8 AM EST. Also seconding what @Teresa Boyd said about email - while it takes 2-3 days to get a response, at least you're not stuck on hold forever. For what it's worth, I think the post-pandemic travel surge has really overwhelmed their call centers. Hang in there, and maybe try a combination of calling early + following up on social media if you're still stuck!