For a natural fiber, it's quite strong and tough stuff (similar in a lot of ways to Hemp fiber). It's tensile strength is 2 to 3 times higher than cotton, which in turn is higher than Merino wool. It does have one weakness though, it's slightly brittle for a fiber fabric, but this only comes into play with folding and creasing as in ironing the collar for example. If you keep creasing and applying pressure to the same spot, the fibers can eventually break because they are not elastic. In that sense, it's the opposite of Merino, which is very elastic but has low tensile strength. Tensile strength is often more related to "abrasion resistance", which is something you want more of while wearing a pack on top.
I haven't had any major issues so far. The only issue i've had so far, is that i have bought a couple of shirts new, which were lower quality, and they were a bit scratchy and rough under a pack. However, all linen softens with age, use, and washing, and higher quality linen stuff is usually softer from the get go. Personally for really hot and especially humid weather, i would love to try a linen-nylon blend to speed up the drying time a bit and lessen the weight.
(I also don't use it in winter as a baselayer, but switch over to Merino and Merino-synthetic blends).