I transferred two domains away from GoDaddy that were protected by Domains by Proxy. They did require that the WHOIS guard be dropped, even though both registrars offered a WHOIS-protecting service.
It did feel like GoDaddy was moving the goalposts.
Since I had no deadline and no feeling of urgency, I just allowed the entire process to play out naturally. There were periods when I was busier elsewhere and didn't press the issue for a month or two at a time, but I spent the better part of sixteen months getting both transfers completed.
Update: I bought a standard membership to DomainTools to see if the info ever leaked. It looks like the patient approach paid off, and that the exposed WHOIS info was not crawled during the transfers. Taking the time to make sure both ends of the transfer were prepared was worth the effort, but I think it's probably luck that kept the info from being picked up.
It did feel like GoDaddy was moving the goalposts.
Since I had no deadline and no feeling of urgency, I just allowed the entire process to play out naturally. There were periods when I was busier elsewhere and didn't press the issue for a month or two at a time, but I spent the better part of sixteen months getting both transfers completed.
Update: I bought a standard membership to DomainTools to see if the info ever leaked. It looks like the patient approach paid off, and that the exposed WHOIS info was not crawled during the transfers. Taking the time to make sure both ends of the transfer were prepared was worth the effort, but I think it's probably luck that kept the info from being picked up.