A compatible extension does not restore source information
J2K is commonly used for a JPEG 2000 codestream, whose encoding may be lossy or lossless. PNG can store decoded pixels without another lossy compression stage, but it cannot recreate detail already removed from the J2K data.
Keep the original when it is part of an archive or image-processing record. Treat the PNG as a derivative for viewing or software compatibility and retain enough provenance to identify its source.