Noun+に and intransitive verbs clarification

Question

「私に甘えっぱなしだなんて、そんなこと気にしないで良いんだからね……？」- act spoiled "to"/depend on me

だからあんたも、何かの間違いで私に惚れたりしないでよ？　どうせ面倒なことにしかならなそうだし - fall in love "towards" me?

はい、魔力とは人の持つ欲望に根ざすもの - probably location に, Included this to make sure

でも、こうして１分１秒迷っている間に、地上は滅びに近づいています。probably movement/destination に, but not physically moving. Included this to make sure

勝負？　私に勝てると思ってるの？」- a match? you think you can beat me? (gain victory to?/from? me)

というかお前に出来て私に出来ないはずないし……」-if you could do it, there's no way i couldn't; see below

I noticed that the dictionary of japanese grammar says An intransitive verb can never take に....

When I read this rule when i just started learning i didn't think much of it, but now that I've read a fair bit of stuff this rule just doesn't add up.

I dug a few sentences just for examples, but i actually can't find any examples of a transitive only verb directly following 私に in this script, but there are countless examples the where an intransitive verb is.

Particularly with the last sentence, I were to write, "if you could do it, there's no way i couldn't", in Japanese, i probably wouldn't have thought to use に.

Are there any formal explanations ? Thank you

edit:

Answer 1

That statement is part of "●Notes 2.", i.e., the rule you mentioned is about ～に in the sense of "for (the sake of) ～" used with any "verb used in the Verbてあげる or Verbてくれる construction". For example, even though you can say 学校に行く in isolation, you cannot say ×彼に学校に行ってあげた nor ×彼に学校に行ってくれた in the sense of "for him" because 行く is an intransitive verb. Instead, you have to say 彼のために学校に行ってあげた/くれた. By contrast, 彼に学校に行ってもらった is fine.

EDIT: Let me summarize this grammar point in my own words. The "Notes" under ㊦に(2) is saying the following. Please keep in mind that everything written below is only about に in the sense of "for (the sake of) ～".

• 彼に浴衣をあげる means "I give a yukata to him". Easy.
• However, 彼に浴衣を着る means nothing (because 着る does not normally take に).
• However, 彼に浴衣を着てあげる means "I wear a yukata for him" even though 着る does not normally take に. This is because 着る is used with あげる, and 着る is a transitive verb that does not take a human direct object.
• However, 彼に死んであげる means nothing, even though there is あげる and 死ぬ is a verb that does not take a direct object whatsoever. This is because 死ぬ is intransitive! Only in this specific situation, "An intransitive verb can never take に" (in the sense of for the sake of ～) is true.

Answer 2

できる can also mean that "something is possible".
In this case the "something" is the subject of the sentence.
Example:
この仕事は私には出来ません。
This job is too difficult for me.

https://dictionary.goo.ne.jp/word/en/出来る/#je-51361
https://dictionary.goo.ne.jp/jn/151118/meaning/m0u/出来る/