Corrin is a character I've been thinking relativitely highly of for a while now, I think she's a top 30 character and a strong anti-meta character for the current meta. Corrin likely goes even or wins vs several meta threats, such as Ness, Mario, Min Min, Mr. Game & Watch, Peach, Olimar, ROB, Sonic, Yoshi, Bayonetta, Cloud, Kazuya, Pac-Man, Steve, Wario. She does have some rough MUs, with Sheik and Snake likely being her hardest matchups (Neo ran into both ApolloKage, who he beat, and WebbJP, who he lost to 2-3).
I think there could be a case for Corrin being slightly stronger than Lucina in this meta. Corrin players are certainly doing better than Lucina players right now (no Lucina players, aside from ProtoBanham who also uses Min Min, do as well as Neo and SHADIC right now). Corrin also does better in several key MUs, most noticeably against Sonic, Steve, Min Min, ROB, Kazuya, Mr. Game & Watch, and Peach. Granted, Lucina does better versus a few notable MUs, like Snake, Fox, and Samus. Overall, I think Corrin and Lucina lose a similar amount of MUs, but the ones Corrin loses are generally not as common or meta-defining as the ones Lucina loses.
Both results and MU charts are flawed metrics, however. MU charts can be wrong (it's possible I'm underestimating Lucina or overestimating Corrin). Results can be misleading (if Neo/SHADIC played Lucina instead then perhaps Lucina would have better results than Corrin). What about theory? I think, in theory, Corrin might still be the better character. Corrin is what I would consider a "late meta" character, while Lucina is an "early meta" character. Lucina liked it when the game resolved more about a strong neutral game and winning neutral over and over and edgeguarding people who were uncomfortable with their recovery options. As the meta progressed we've seen a move towards a strong punish game, where one neutral win turns into 60-70%+ damage, and we've also seen that people have gotten better at mixing up their recoveries. Lucina tends to get a few hits and then try to push advantage state, while Corrin can true combo or string for lots of damage (see Neo and SHADIC).
Sheik being a bit more prominent in the meta as of late is a bit of an issue for Corrin though. Neo proved that it's still doable, he almost beat WebbJP, but it's an uphill battle for Corrin.
Overall I'm not really sure who is better between Lucina and Corrin. Lucina was the early meta character, while Corrin was mostly irrelevant until she got buffed in 2020, and she also struggled a bit after 2020 due to SHADIC being very young (13 years old at the time) and Neo not playing the game. In the past year or so SHADIC and Neo have been proving that Corrin is a high tier character who has the potential to be top 30.
Lucina was a character that many people used to believe was top tier. Over time the meta has gotten worse for her and the meta has changed in ways that made her worse, and people have gotten better at the game in ways that makes it harder for her to stand out. Her results have also dropped significantly. She also received some nerfs early on, although I don't think they were too bad. Still, I think Lucina, at this point in time, is probably a top 30 character. I think it's entirely possible that in the current meta Corrin is the better character, though it wouldn't be too surprising if it's still Lucina.