Do you have to lift that mat up everytime you want to open the trunk?

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I just roll the mat forward enough to open the trunk lid and it will stay open.
Then roll it back after closing it. It's simple, just roll it forward a few feet.
Otherwise you can open trunk lid with mat still on top of it with one hand and retrieve or place something in trunk with other hand but the lid wont stay open with mat on it.
If you use a spray-on bedliner I believe the weight of the material will kept the trunk lid from staying open on it's own. I may be wrong but I would certainly check this out before doing it. Although you could use something to prop the lid open like a stick or broom handle.
Whatever floats you boat. I find the mat works fine and it is easily removeable.