I'm always going to be partial to black myself because it's my favorite color. I was disappointed when it became clear this franchise was going to switch from being a black-first team to a blue-first team, and especially so with those first few years when the only black was, like, the gloves and the outline of the lightning bolt on the breezers. I was happy when a black alt was introduced, finally, but even then that alternate just ended up looking once again like us aping another team's look (that they debuted against the Kings was just the icing on that particular cake). The current black alternates are a mess and should've never been approved, honestly. Nothing about them looks appropriate for a hockey sweater.
The original logo is too ClipArty for my liking as far as going back to that, so that's not my preference. But the template from the 2004 Cup sweaters? Yes. You can tinker a little bit within that, but they have proper hem and arm striping, color balance, and I'm also partial towards shoulder yolks. Maybe you could make the white yolks silver instead, to put a little different spin on them, maybe you go with a slightly different striping pattern on the hem, but the most important thing is that the component parts are there to work with. Black/blue/silver/white is a unique color scheme as well.
And if anybody has any concern that our current look now having a Cup to its name might cement it, don't be too certain. The Ducks debuted an alternate sweater with more orange not long after they won the Cup in 2007, and it wasn't too long before those were the primaries and their Cup sweaters were retired. That's just one example that instantly comes to mind (if anybody was thinking the Penguins after 2016, it would be a bad example because their then-throwbacks were already set to be their next primary sweater the next season no matter how their postseason went that year). The only thing stopping the Lightning here would be themselves.