Something I want to make abundantly clear since it's come to my attention again that some people, regardless of their opinion on Tim being Robin, think that DC forgets him more BECAUSE of that switch, and that could not be more wrong.
The only way you could possibly say Tim got more attention as RR is if you compare NOW to 2009-10 instead of comparing anything that's remotely fair, like when he was Robin BEFORE to then, or when he was RR more recently (2016-2019) to now.
In both cases Red Robin had him get LESS attention and be in LESS titles in comparison to Robin.
His attention has DRAMATICALLY INCREASED since RR stopped being used.
The reason he is less popular now than he was in the 2000's is because New52 (and in some cases like mine what immediately lead up to it before that even hit) lost just about *his entire fanbase*, and DC hasn't recovered, because not all of us have come back, and new fans are slimmer than they could be because of being ignored and butchered into, frankly, not just a different character, but a BAD character (except when written by a select few authors that actually cared, but they were hampered by the overall canon at the time [which sucked] and being shoved aside into a box), for so long, and not helped by being skipped or slimmed down by alternate media, which is another way a character gains fans. (Related tangent: I'm so excited for Knightfall animation.)
Tim is better now, but convincing people of that has been a PROCESS.
This is aside from any of my usual in-character in-universe arguments about why Tim should be Robin. Which are still very much a thing. But in addition to that, I need you to know that Robin GETS him attention, not the other way around.
Furthermore, in regard to giving him a different name, besides my personal analysis that it would be out of character if not temporary,
Tim's fanbase combined could probably support a solo (the reason the one that was tried failed had a multitude of reasons outside of character popularity I'm not going to outline at the moment), although they don't necessarily need to try (I love him, but there are a lot of bat books and I sympathize with dc fans outside of bat ones), but if you removed a HIGHLY RECOGNIZABLE TITLE from him, you have zero chance. "Robin" holds a lot of marketing weight that any new name would not have and it's far more likely he'd disappear into oblivion.
Which, the Tim haters would certainly like, but that's not who the character is written for.
Relatedly, reminder that Tim Drake actually had a solo comic before Dick Grayson did. And, arguably Dick's first solo was the Prodigal run of Batman, in which he was Batman. Dick's first solo as Nightwing was TWELVE YEARS after he debuted as Nightwing. Dick's character is more popular than Tim's. So why is this? Because people who don't know everything about these comics recognize the name "Robin", that's why.
Tim's character hasn't been ignored since he's returned to Robin, he's been paid more attention than he has in over a decade, and if you don't know that, you aren't reading comics.