Hey, thanks for the question.
I do have two different ground tile types that are the same ground pattern just shifted up or down 1 pixel. This was the only way for me to get this awesome ground pattern to work for everything.
As for solutions to your problem, you can change the tileset like you said, or just adjust the chain position in your game engine, etc.
Thanks, I hope you continue to enjoy the tileset.
Cheers.