I played Nutaku's version for the better part of three years (currently somewhere in the middle of the 106th set of daily rewards). While I don't have as many rainbows in the DMM version I figure it won't take nearly as long to catch up given that I've only been playing on DMM for about a month and a half and I already have four rainbows. Rarity growth is available for quite a few Knights and promotes them to 6* status so I'll have a fifth rainbow fairly soon.

Overall there are many improvements compared to the Nutaku version too:

- There are way more CSQs available to the point where pretty much every Knight that joins your forces has their special equipment and bloom quests available.
- You can claim multiple quests at the same time including quests in the same category.
- Evolution and leveling materials stack and are automatically put in storage so there's less chance of running out of space in your normal character/equipment pages.
- The various equipment/character buttons have graphics that help describe what each does (the equipment upgrade button has Nazuna working with a hammer and anvil, the Knight upgrade button has Manyus plastered on it, the evolution button has bloom dragons on it, etc).
- Knights that have multiple versions can swap their appearance between them if you have them in your army, so you could have your pick from Anemone's 8,235 versions if you happen to have all of them.
- Related to the above, some Knights have alternate appearances that are available even if you only have one of their versions (Cycla Menn, Anemone, June Bride Lotus, etc). Some of them are minor compared to others (Anemone as a maid vs. Nightshade without her mask on) but they're still there.
- There are frequently EXP, gold and/or stamina cost bonuses. The most recent one basically doubled gold output from stages, increased EXP rewards for most missions by 50% and reduced stamina requirements for most missions by 35%. So, for the most part you'd be getting double gold and twice as much EXP per stamina point spent.

Those are just the perks I could think of off of the top of my head.