Hi there, I’ve had a similar issue with one of my lightweight tikka’s in 7mm mag. After much head scratching it turned out to be the machined plastic fixture on my suppressor.
As the thin barrel heated up the connections between the threaded barrel and the plastic over barrel fixture of the suppressor lost alignment and my shots started to wander. Mine went in the vertical direction as opposed to horizontal but it’s an easy one to check. On the day I just removed the threaded plastic insert at the back suppressor, now I always just machine the inserts (on suppressor) to give a little bit of clearance from barrel. I have assumed you are using a suppressor, if not please ignore.
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