It is certainly a valid question, but the answer is for texture maps, LDR is enough.
An HDR image (in the CG world) is an image where the maximum brightness can go above 1. In photography, an HDR image is actually something different, and definitely not something you want to use when creating texture maps.
HDR features on cameras actually give you an LDR image, but with more detail squished into it. You should not change your decision about what camera to buy based on whether or not it has an HDR mode, this isn’t what you want. This processing makes it unreliable for texture maps because a bright area of the image will be made darker, giving you incorrect results. You should stick to the default settings of the camera, or if you know what to choose, settings which reduce all processing to a minimum. Lowest contrast, no sharpening, constant white balance, and manual shutter speed, aperture and ISO.
HDR images for Computer Graphics are actually created on the computer, from multiple regular images. These images are very helpful for lighting an environment, but there is very little need for HDR maps. Diffuse maps, for example, should always be between 0 and 1, because an object with a diffuse colour greater than 1 is actually generating light. If you want to stay in the realm of reality, all diffuse maps should be between 0 and 1, usually much less than 1.
Good luck with your image capture!