The phrase "primary time" refers to the main or most important time or event. It can be used to describe the most crucial or significant moment in a particular situation or the primary period when something occurs. Full definition
And as for the GOP primaries time around: Really? (inc.com)
Keith Blandford, who ran for the same seat as a Libertarian Party candidate in 2012 and received 2.18 % of the vote, is running in the GOP primary this time around. (thirdpartypolitics.us)
(Presumably that means access to resources and plenty of manpower come primary time.) (bronxnewsnetwork.org)