Reconsideration requests are only required IF there was a MANUAL penalty applied to your domain. Highly doubt Google's web spam team are spending their time cherry-picking some parked domains here and there to slap with a manual penalty.
You added the "only required IF" part.
Goog clearly states in the 1st paragraph on the 'manual actions' link in your post:
"While Google relies on algorithms to evaluate and constantly improve search quality, we're also willing to take manual action on sites that use spammy techniques, such as demoting them or even removing them from our search results altogether. The Manual Actions page lists these actions (and potentially others) and links to steps you can take to address the problem."
Google also clearly defines a "Parked Domain" as...
"A parked domain is a placeholder page for a domain that is not yet developed into a website. For example, a webmaster may put up an "Under construction" while the site itself is being built."
And goes on to state:
"If you have parked domains, activate the domains and fill them with useful content to make them eligible for being indexed and returned in search results."
Goog also states:
"However, some webmasters register domains and park them in order to monetize those pages. Typically this is done by filling the pages with ads in the hope of gaining pay-per-click (PPC) revenue. These parked pages don't provide value to searchers, so we don't typically return them in our search results. If your site has been removed from our search results, review our Webmaster Guidelines for more information. Once you've made your changes and are confident that your site no longer violates our guidelines, submit your site for reconsideration."
SOURCE: https://support.google.com/webmasters/answer/66376?hl=en
Truth is, Google is mostly secretive about the inner-workings of their SERP Algos, and
ALL the 'Manual Action' triggers. So, as a rule, I advise clients who complain that their (formerly parked) site is not in search results to go through the Reconsideration process.
Equating, and applying, the parked 'placeholder' page standard to a parked PPC page is just wrong... as one is 'Under Construction' and the other is a built ecommerce spam-site -Domainers labeled "parked".
Bottom Line:
If your domain is not in the index submit your site for reconsideration. Its as simple as that.