Personally - and this really only is a subjective personally opinion - it's a rare Gibson I would find worth the spend. (Bear in mind, of course that the left handed options I see are more commonly the closing in on two grand end of things new; I'd struggle to justify that when I could go to a reputable builder and have something custom made to my specs for that....). These tributes look nice, though, and around the price that I'd feel comfortable with if I wanted a Les Paul again. Buying new given these price points, I'd stump up for the Gibson,. I'm sure the Epi is a fine guitar (I've never played an Epi I thought was truly "bad", beyond muddy HBs), but for my tastes Gibson have rather started to push the prices of Epiphones up. After yeas of them selling Epi as a budget brand, I'm afraid I find it hard to look at their new guitars and thing "expensive Epiphone-alike" rather than "Bargain Gibson!" If I was already going to buy a copy of a Gibson, I'd probably look at Vintage or Tokai instead, rather than spend more on something which, no matter how 'official' it is, is no less a 'copy' just a more expensive one. I still believe that's a major reason why Epiphone's Elite/ Elitist series failed - if they'd badged it 'Gibson Japan', I honestly think they'd have made a mint. Course, it's still very early days for these new Epiphones, so it's possible they will begin to hold their own moneywise. Proportionately, I think Epis always did (at least for the LP models) hold a similar proportion of their resale value to higher end (non-rare) production line Gibsons, but to me they're no longer worth the new prices given the range of competition out there. At least their marketing department have finally cottoned on to the impact of headstock shape in the market, though - always seemed a strange choice to me in a world where the market does care about these things that Gibson would give its own budget line a headstock shape that immediately made it less close a replica of the real thing than many other legit copies on the market (I'm not talking counterfeits).
TL/DR: if I was going to buy a LP nowadays, the Tribute would be the one I'd choose, especially if available used.