Yes, that is what it would seem, with the caveat that someone went out of their way to enhance or add to the markings. Most folks seem to think someone took a DP marked rifle and rebuilt it as a trainer. The DPT marking is unknown and does not match any known marking standards. The buttstock is suspect for the reasons noted on the other board. There were a bunch of DP rifles rebuilt by Parker Hale during WWII for the UK. These rifles had the DP mark lined out.
That said I have an Australian No 2 MK IV marked butt that does not have the MA marking nor does it have the star in any format next to the No 2 MK IV marking. The other butt stock marking is a “4/47under R”, which generally indicates a rebuild. The No 2 MK IV marking appears to have been added later, as indicated by the dept of the markings. As it is not attached to any rifle I have no idea about the originality of the buttstock: but suspect it was modified in the field. It was in a junk bin, dirty and cost me 7 dollars at a gun show so I doubt it was a fake, unless it was someone’s discarded fake attempt.