Question About Offsetting Penalties

[Fundin]

If players from both teams take penalties, they cancel out, right?
Hypothetical penalty situation:
Player A1: 2:00 for Roughing
Player A2: 5:00 for Fighting
Player B1: 2:00 for Roughing
Player B2: 5:00 for Fighting
So, in this case, on-ice strength remains at 5-on-5, correct? (Each team has one player taking a roughing minor and another player taking a major.) Assuming the teams were full strength at the time of the penalties. The only time it goes to 4-on-4 is when ONE player from each team takes a minor each, right? If there are other penalties on top of those, like this scenario, it should be full strength ahead, yes?

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[SotasicA]

"So, in this case, on-ice strength remains at 5-on-5, correct?"

No, they do go 4-on-4.

 

[CuriousGeorge]

It will be 5 on 5.

 

[Fundin]

It will be 5 on 5.

I agree. I asked this on Reddit and there is a fundamental misunderstanding of how the coincidental penalty rule is applied. The key is the language:
"When one minor penalty is assessed to one player of each team at the same stoppage in play, these penalties will be served without substitution provided there are no other penalties in effect and visible on the penalty clocks. Both teams will therefore play four skaters against four skaters for the duration of the minor penalties."

ONE player of each team. Then it goes on to say this applies to the players receiving misconducts as well.

And then this:

"When multiple penalties are assessed to both teams, equal numbers of minor and major penalties shall be eliminated using the coincident penalty rule and any differential in time penalties shall be served in the normal manner and displayed on the penalty time clock accordingly (see 19.5). If there is no differential in time penalties, all players will serve their allotted penalty time, but will not be released until the first stoppage of play following the expiration of their respective penalties."

Therefore, 5-on-5. Unfortunately, the coincidental penalty table doesn't cover this exact scenario, but at the end, it covers 4-on-4 situations which only arise as stated above. Of course, 4-on-4 can happen if say, Player A1 is given a 5 minute major, and B1 is given a two-minute minor (unless in the last five minutes or OT), but that's easy enough to understand. But when penalties of equal duration are given to multiple players on both teams, they cancel and don't change the on-ice strength.