Genjutsu that isnt IT or frog song kata (like most genjutsu) gets absolutely bonked by Asta's passive Ant magic aura.
I disagree with this, genjutsu on the level of Tsukuyomi and Kotoamatsu should also work.
naruto comp has no answer for Julius Time shenanigans and Precog, nor a reliable way to get around their fate manipulation, this is while ignoring the fact that they would also have a passive matter destruction field around them.
with chakra being magic the invulnerability to ninjutsu should help with most of these and even then immortality type 1 helps with time magic since it primarily ages stuff, fate manip can be taken care off via constantly absorbing magic/chakra as has been shown with Dante. Absorption is something Naruto verse has in spades for better or for worse.
Kamui can be countered by precog and even in the event they are sent to another dimension (like with Kaguya) , they can escape via just cutting through it.
Kamui is still powerful defensively, even with precog they cant stop its use, Jumping Kaguya's dimensions is massively harder than regular dmensional travel as shown with Obito requiring massive amounts of chakra to do so.
TSB's won't be much of an issue because they can still be countered via Physical means and with Anti-Magic.
You are ignoring the offensive abilities of TSBs. And Anti-magic is powernull which comp narutoverse resists.
There are quite a few things I'm missing from BC but I don't want to drag this out. It's possible for Naruto comp to win in certain situational events but more often than not the BC comp should win
And I disagree quite a bit more with this, I dont think you took into account a lot of what comp Naruto can do.
Firstly, comp Naruto is going to be a ghost via Hagoromo, which I dont think BC is capable of doing anything about as far as I know their NPI is entirely elemental based.
Secondly, with the sharingan and byakugan combination they are capable of figuring out a lot of BC's powers.
Thirdly, senjutsu would not be countered by Anti-magic.
Fourthly, multiple forms of immortality.
Fifthly, Limbo and no dimension slash would not work on Limbo which exist in completely different space-times.
Sixth multiple types of clones not including Limbo with all having the same abilities.
Seventh, izanagi and can be spammed.
There are also mind switching techniques and multiple forms of possession.
So really I dont think you gave any credit to comp Naruto tbh.