As for gods at the level of UEG and above, they are capable of regenerating in less than a second. As for the other, lower-tier gods, this point was already mentioned for them—in fact, it was stated from the outset.
Regarding information and causality, these are things I already discussed in the thread, as far as I remember.
Causality-level erasure is something common for any Instant Death character, as is total erasure. These are standard abilities possessed by about 90% of Instant Death characters, so yes, this type of erasure would not be effective in killing gods either. As for information manipulation, it is already stated in the profile: gods can return even if their information is destroyed, because gods in general can manipulate the information that constitutes all of reality, altering everything within it, and reviving or killing anyone via information—just as UEG did when she revived a god through Type 2 information manipulation. Gods are also tied to information and can be revived or killed through it as well, so this approach is ineffective.
History erasure completely removes a character as if they never existed in Instant Death, as we agreed in the thread, and this includes the character’s information as well. Returning from this would also imply the ability to return from both history and information based on what I explained. As for causality erasure, it is self-explanatory, and we have already discussed these points.