I guess you are trying to say that the complainant would not have a basis for claiming an ownership change, but that's not as simple as you might think.
Some UDRP complainants will pick up on whether the name was sold by checking namebio or other sources. Also, they will look at any change in registrar, nameservers, etc., and allege that it was the result of an ownership change. Absent the respondent showing up and showing that they had it earlier - such as by a renewal payment, confirmation of a registrar change, or whatever, then the complainant will typically be believed if they merely allege a secondary indication that the ownership may have changed.
In other words, if it was under Privacy Service #1 at Registrar A, and then moved to Privacy Service #2 at Registrar B, the complainant will allege that it shows a change in ownership of the domain name. It is then up to the respondent to show otherwise. This is among the many reasons why I've been telling people not to use WHOIS privacy for more than 25 years.
And, if your point is along the lines of 'since the complainant cannot prove an ownership change, I will lie about having owned it earlier,' that's not a good long term strategy.