Decoding JPEG doesn't leave much room for interpretation and the images should essentially always be decoded the same. For encoding, it's a different story, as there are steps to downsample the image data (chrominance data is often, but not necessarily, sampled at a lower rate than luminance data), there can be a different cutoff point for which of the DCT coefficients to discard (usually related to the "compression" or "quality" setting for the compressor). All JPEG decoders should reproduce the same image from a given JFIF file, but I'd be surprised if different encoders produced the exact same JFIF file from a given source image.

For grayscale data there's very little ambiguity, since chroma and colorspace conversions aren't involved. Basically just rounding in DCT, for which you can make reasonable assumptions.

Moreover the JPEG XT spec (not to be confused with JPEG XL or the ton of other X-somethings JPEG made) has specified precisely how to decode the classic JPEG format, and has blessed libjpeg-turbo as the reference implementation.