I fly 777 f/o trips all the time and don't get 3 landings. Trips can be 10 days long with 5 or 6 legs, and the captains take at least half, sometimes more. Put a vacation month next to that, and you're going to a 3 and 3. (Because once you get the notice you'll be non current, you gotta go soon or miss out on tweaking your schedule down the line.)
I needed just one landing to get reset earlier this year, and the captain took both legs to and from Europe. He said he needed them though a check of his schedule showed otherwise. Plus he should have gotten quite a few more that month. I ended up picking up a trip to get it, but there's hardly never any short tripss to do that.