If your domain name is registered by proxy or the WHOIS information is not publicly displayed, it is no longer a requirement to temporarily disable your WHOIS privacy while an SSL certificate is issued.
When submitting your SSL request form, you will be able to select an email address for domain control validation. Please be sure that you have access to the email address you select from the list.
What Information is Displayed in a Private SSL Certificate?
This is a function of the validation that Comodo performs to prove that your site is secure. While you can enable private WHOIS after the SSL is issued, the information will still be in the certificate. This is typical of most company validated SSL certificates on the market.