I have both and like both. I have 2 LMTs and 1 Seekins. My boys both shoot LMTs. Which is more precise will be determined by the barrel lottery.
If I could only own one, I’d sell my Seekins. I think the LMT is the better gun. That’s not selling the Seekins short though. The good thing about the Seekins if the abundance of off the shelf barrel options. You’re stuck with LMT or custom with the MWS. My biggest gripe with LMT is that they use mid length gas on their 16” barrels. I ended up having an 18” rifle gas barrel cut for one of mine. I’d have already bought a 16” 6.5 barrel if they weren’t mid lengths.