Is there any problem with solo-lane Lulu?

In times and times, I see people complaining about Lulu, saying that she isn't healthy... And if I am not mistaken, Riot is about to make support itemization changes, once they finish with the ADC itemization changes.

Is there any problem with solo lane Lulu? Because she has already been nerfed and on my opinion she is balanced... I mean... despite the fact that she has a lot of bullying potential and can scale well on the game and never actually fall off due to her insane utility, she has some weakness that must be noted.

First, her damage potential is low when compared to other mages. In a meta where everything is tanky, Lulu struggles to do noticeable damage against tanks, and due to her lack of damaging abilities and low ratios, it is easy to make her damage laughable with just one magic resistance item. On some matches, I have to rush Void Staff and/or items like Lich Bane and/or Luden's Echo to be able to boost her damage potential. You can't just blind pick Lulu. Even though she is technically a safe pick, her low damage potential means that you must think twice before picking her instead of other champions that do more burst damage.

Second, she must carefully operate her mana bar. Otherwise she will become OOM because she is very mana hungry early game.

Third, she has problems against champions that can outrange her or have sustain. On mid lane, Syndra and Xerath are pretty difficult matchups due to their long range. On top lane, Vladimir is difficult due to his sustain, despite him having shorter range.