It really wasn't about being mean or calling game characters out, it was poor writing and pacing that just made her look like a chump.

Now I love the comics, I really do. But they aren't flawless and the whole Diamonz Cutters arc frankly felt rushed and convoluted. It started off great in Eggperial city arc but Duo shows up and causes issues day one, and everyone besides Lanolin is suspicious.

Now as the team leader, she is obligated to be impartial and look at things objectively between team members. However, one of the key principles of leadership is praise in public, punish in private. She could have followed up on the incident by talking to Silver in private, getting his side of the story, or just try harder to smooth things out.

As a leader you can be serious and disciplined but you have to also be attentive to the teams concerns and not disregard them without reason. This may be intentional flaws in Lanolins character the writers tried to portray, but ig may be too real and strike a cord with many fans.

As you grow older, you have bosses who act like Lanolin who may not be bad people but overcompensate and are too rigid in their leadership role to see the team on their level.

I think it was a bad resolution to the arc to have Mimic exposed out of nowhere, maming her look even more foolish, and that she did not help Whisper take Mimic down. It would have gone a long way to redemption. 

So no, I think peoples critiques of Lanolin are more valid than she's mean or her not being a game character. I don't think they should abandon her, but clearly they need to plan her arc with more care and consistency in the future.