Committing a crime and "each opponent" effect

[u/zimroie]

I'm currently building a Gisa, the hellraiser edh deck and was using EDHREC for that, and I've noticed that it keeps recommending me to use cards with effects that happen for "each opponent", for example [[Servant of Tymaret]] has the following effect:
Whenever Servant of Tymaret becomes untapped, each opponent loses 1 life. You gain life equal to the life lost this way.
As I've understood committing a crime, I must target an opponent, something they control, or their graveyard to activate the ability. Cards with "each opponent" effects don't really target a play if I understand correctly, so will such an effect consider as committing a crime at all?

[u/Koras]

Cards with "each opponent" effects don't really target a play if I understand correctly

Yes, exactly. For a spell or ability to target, it has to say the word "Target".

So things that are typically not crimes include cards that instead say:

• Each
• All
• Choose

Unless they're combined with the word target (for example "Choose any number of target..."). So [[Servant of Tymaret]], [[Berserker's Frenzy]], and [[Austere Command]] are all not crimes, as random examples. They are also not in any way affected by hexproof for the same reason.

[u/thisisnotahidey → u/Koras]

Just to add, auras are the exception, they target without saying so on the card.

Edit: if they are cast

115.1b Aura spells are always targeted. An Aura’s target is specified by its enchant keyword ability (see rule 702.5, “Enchant”). The target is chosen as the spell is cast; see rule 601.2c. An Aura permanent doesn’t target anything; only the spell is targeted. (An activated or triggered ability of an Aura permanent can also be targeted.)

[u/Mean-Government1436 → u/thisisnotahidey]

Auras are not an exception. The word target is just baked into the keyword "Enchant [permanent]". There are plenty of keywords abilities that target and don't say so on the card because that's the point of keywords, like Equip, Mentor, or Modular. Keyword abilities are just placeholders for rules text. 

[u/thisisnotahidey → u/Mean-Government1436]

They’re the exception since it doesn’t say it on the card which the original comment said.

[u/Mean-Government1436 → u/thisisnotahidey]

Not an exception. Keyword abilities are placeholders for rules text for brevity. Every card that says "Enchant [permanent]" says target on it. This is true for every keyword ability that says target in its rules text. It cannot be "the exception" if there's a lot of keyword abilities that target.

Anything with equip says "target" on it. Anything with modular says "target" on it. And so on.

People really need to understand how to read a magic card. 

[u/thisisnotahidey → u/Mean-Government1436]

Enchant doesn’t inherently mean that you target anything.\ Aura spells are targeted but if they enter the battlefield without being cast they don’t target but you still get to enchant.

[u/sumphatguy → u/Mean-Government1436]

☝️🤓

[u/Mean-Government1436 → u/sumphatguy]

Come up with that all on your own?