If your One-Hand Trekker is like my one-hand Soldier model (and my old Victorinox two-hand Trailmaster), the locking liner is meant as a safety in addition to the backspring tension (which most liner locks do not have). My Soldier and Trailmaster have a tiny bit of play in the locked position. In this way, it's more like the old-time liner locks like my old (1970s) Schrade folding hunter (which had a backspring and a similar type of liner locking mechanism, only made of brass), which also has a tiny bit of vertical wiggle. Same with some of the old-time electrician's knives. Unlike a standard liner lock, the liner itself is not the only thing that's holding the blade in the open position; it's just there to help ensure that if the blade somehow overcomes the spring tension during use, it doesn't close on you. So, IMO, a tiny bit of play in this design is not unusual.
Jim