While HGSS is loved by many fans, it's also based on Gen 4, which means the speed at which actions occur are awful and the art direction around that time was too soft and the colors were muted (with the exception of the sprites, which I greatly preferred over Platinum's). While they did improve Kanto and add two of the cut dungeons from the original back while adding a few more from Gen 1, they neglected to fix most of the problems with Johto (in fact, they opted to make Whitney lower level) which should have been the main focus. The much-lauded gym rematches might as well not even be there considering the hoops you need to jump through to get them. I would rather play the originals before it, honestly, it's aged quite horribly.
Emerald vs ORAS, I just tend to like sprites more I guess. The Battle Frontier is cool and all but in the long run I didn't really miss it too much outside of the Factory and the Pyramid. ORAS has one of the best egg routes in the series which I'm honestly more broken up over losing than I ever will the Frontier. DexNAV was a neat feature but worked horribly with the EXP Share and Catch EXP (the real culprit behind overleveling most of the time), wasn't a fan of giving the player a free Latias/os either. It's a tossup really, I enjoy playing both.
From what I've seen of BDSP I will likely never be touching the originals again outside of prototypes I need to test. While it does suck to lose some of the Platinum features and trainer parties, I would rather play a game with modern features and not have to wait several years for wild battles to start and HP bars to dwindle. Plus even though I'm not a fan of the DP levels, they seem to have finally improved on trainer battles themselves by adding held items to the mix. The rematches also look way better than Platinum's ever were.