I'm not a fan of adding any of these items to Summoner's Rift.
Wooglet's is just a combination of Zhonya's and Rabadon's. It exists only to give quicker access to both of those effects in a game mode where having to finish multiple items for needed effects can take too long. The power spike it gives is too quick for Summoner's Rift. It was done before with Zhonya's Ring, which was purposely split into Rabadon's Deathcap and Zhonya's. It works much better this way.
Adding this also wouldn't increase item diversity. Item diversity isn't just purchasing a different item to do the exact same job, it's purchasing an item to do something different. Wooglet's just does the same exact job as Rabadon's and Zhonya's. It's not adding something unique, it's just shoving the same effects into a more slot-efficient package.
Moonflair Spellblade is a poorly designed item for Summoner's Rift. It gives damage, covers all your defensive bases, and gives a very useful tenacity. It was added to help a class that was suffering in 3v3 by giving them an overtuned defensive option. The thing is though, that class doesn't need the same defensive option in Summoner's Rift. It would just give too much. An item that answers all general defense needs while giving damage and a very useful effect isn't good design. It answers any potential problem you might have. It needs a situation where it is a bad purchase.
More tenacity items might be a good idea, but the Spellblade is a bad place to start.
Lightbringer could work, but I'm not sure it would have a point. There are other forms of stealth detection, and most of those can also deal with wards in addition to traps. Lightbringer works in an environment where there is low stealth detection and where traps can give you a source of vision control when the other team has no access to any kind of vision. In a place where traps aren't the only source of vision and there is better stealth detection, I can see very situations where it would actually be a good purchase. On top of that, trap using champions aren't really in need of more counterplay right now. If it was added I'd bet on it becoming the new Executioner's Calling. Theoretically useful, realistically useless.