This happens because that person searched, not because they're more common
To determine the total cost of a spell, start with the mana cost or alternative cost you're paying (such as a flashback cost), add any cost increases (such as kicker costs), then apply any cost reductions (such as that of Serah Farron or Crystallized Serah's first abilities)
You can see the full borderless scene when you combine the four cards from above
Sometimes, Wizards will still put Imprint onto a card that does this (presumably for flavor reasons)
As the deck stands in the precon, however, theres not a ton of support for that idea, so well stick to using her in a more traditional Group Hug strategy
The removing of three counters won't be a problem once Insidious Roots is out as you can easily just remove the counters from your smallest plant tokens