So do I have a problem with HD remakes, not really, if done correctly like these three examples or others like the ICO & Shadow of the Colossus it can be both good for returning players to play their favourites again and for a new generation to play titles if they didn't have a PS2. Having younger players be able to experience the best of the older games is always a good thing so that's a huge benefit to the HD remakes.
Definitive Editions though, are something that have been more of a cash in, I'll cut the HD remakes the slack in that department because they bundle a bunch of great games together to appease fans. With Definitive Editions you're basically looking at older games that have been retouched in some way and have all their DLC bundled with the game.
So to bring it all around, yes both HD remakes and Definitive Editions are essentially cash grabs by the companies, however I find personally that an HD remake can be done quite well and give users both new and old an experience with an older game. Whereas Definitive Editions, though they may be done with fantastic games like Tomb Raider, Sleeping Dogs, The Last of Us, etc. are very much so a cash in and even though packaged together nicely (90% of the time with an artbook) they still lack a little. They are obviously able to be re-enjoyed like HD remakes are but many of these games aren't making a big switch in console generations like PS2 to PS3 but merely PS3 to PS4 or 360 to XB1 so the upgrade is just "minor" at best.
I guess we need to take these for what they are worth and if you enjoy them, like I do, then great and if not it's probably best to stay away from these styles of games.