I do not think the pro 22 influent value overcomes the con of not to get the Jinteki card ever. There are several assets from Jinteki that I like to use, such as Project Junebug. Do not forget that it means no Snare! as well. I don't think this ID will be a viable option in competitive play. There are a lot of good cards in the Jinteki's card pool and it would be a great disadvantage not to include them in the deck.
And even HB decks without any single Jinteki card usually work better in any other ID that has an actual ability. Plus, if you want to incluse that many cards from the two other factions you often end up with a game plan that works better simply playing one of these other factions.
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Krams