Let me preface this by saying I think Puig does have some impressive traits. His throwing arm is at worst a 7 on the 2/8 scale. And I think his power is legit. That said, if one reconstructs his splits based on peripherals, he becomes only marginally better than average. I will also qualify that we still have a very limited sample for Puig, so all of these rates are subject to drastic change. But if you are a proud fantasy owner of Puig, I might tempt you to sell high.
Right now, he's living off of a ridiculous .465 BABIP despite a very alarming 4.7-1 K:BB rate. That kind of split would make it very difficult for him to stay as a regular in this league, let alone be considered the greatest thing since sliced bread.
Within that BABIP, he is certainly earning some of it. His LD rate is 25% and he's hitting a lot of grounders too. And one quarter of his fly balls have left the yard. Nonetheless, his xBABIP is a much lower (but still very impressive) .347.
Let's assume, for a moment, his double and triples rate stayed the same as well as the same number of balls leaving the yard. Here is what his line would look like if his BABIP matched his xBABIP:
If you think that his walk and strikeout ratios are going to improve, then by all means ride him out. He is, after all, very young and depending on the extent of your league (i.e. if it's a long-term keeper league), he could indeed blossom into a star.
But right now, if I'm judging him based on the discipline rates and things under his control, his star is almost entirely based on the gratuitous 100 points of batting average in play that won't keep up. Otherwise, he's only a modest hitter with a great arm.
I think the Puigmania is fun to watch, but a little out of sorts.