Did people forget that Eggman can easily mind hax Bowser with a planetary laser? Also the Time Eater cores isn't a weak spot, it's just his body, the rest is gas, plus Eggman is about to get duplication, which won't beat Bowser but will give him trouble, also the probality manipulation as well, that will make Eggman hitting Bowser easier and the opposite harder, plus Eggman in base being weaker than Bowser os useless because Eggman isn't going to leave his machines, he never does that at all, plus the Phantom Ruby perception manipulation might give Bowser trouble as well, if Eggman realises he might lose he is going to mind hax, which Bowser can't do nothing for, also Eggman's haxes would also aply to his machines that he is using, seriosly he isn't leaving his machines, the probality manipulation will aply while he is in the Time Eater, attacking via it, plus Eggman has no trouble of piloting it
The big problem is that you people are separating Eggman from his machines, which isn't sound, Eggman's haxes still worked for things that he used like throwing wrenchs, so it will work with things that he is using, the Time Eater matchs was without Eggman, just It by itself, Bowser can't teleport close to Eggman because he is in the Time Eater, so he will only get close to be blasted, Eggman has more options to Win, Bowser main arguments are about old matchs and the fact that Eggman might leave his machine which is OOC
Also Eggman might just start with mind hax, it was the first thing he did when he made the machines and they were ready, also the Time Eater arms can teleport through portals, so Bowser can't teleport or run away easily like that
Plus Eggman is going to get life force absortion as well, plus Eggman hax works on everything he uses, it literaly works on his bombs and wrenchs, which by that logic aren't him, so it will work on his machines and the Time Eater, plus the Time Eater time travelling ability might give Eggman prep as well, and you don't need to be sucked to go to White Space, Sonic wasn't and neither did Classic Sonic and Tails as well
Honestely I hate to say this but the Bowser votes are probaly invalid, they come from using reasonings when Eggman wasn't piloting the Time Eater plus the weird fact that his hax only affects him which is wrong, It affects anything that Eggman uses, in the game a example his his wrench and bombs, another example is Tails machines that also get affected by the hax, so the Time Eater would still have it since Eggman is using it, plus Bowser can't teleport away when the Time Eater arms can do the same via portals, he himself can also teleport as well, the only thing valid from the Bowser argument is that the ressurection will probaly only affect Eggman and not the Time Eater, since Eggman doesn't die when it is destroyed, but that gives him even more reasons to use his planetary mind ray from space