As Loewe is said to be the Spanish Hermès I think it would be helpful to collect information on their leather types. I have never held their bags in my hands, unfortunately and the lockdown doesn't make it easier. So I figured any pictures, information on slouch, how it's holding up against wear, rain, snow after some time, if it shows patina (natural darkening from oils on our skin, scratches) will be extremely helpful to people like me considering to order sight-unseen.
I'll start with the leather types I know of and (shortened) quotes from other members regarding their characteristics. I hope they don't mind
Apologies for referencing to Hermès leathers a lot and only speaking about the puzzle bag. The quotes were answering my initial question with the comment that I know H leathers very well and would appreciate a comparison to them. Feel free to compare to the leather types of other brands. I'm sure BV and Chloé fans will be interested as well. I'm happy to edit this post later (if technically possible) once more information comes in.
Classic calfskin

Smooth calfskin. Most Puzzle bags come in this leather.
Soft grained calfskin

Slightly pebbled texture. I read it slouches faster than the classic calfskin.
Nappa calfskin

Suede
Their signature leather.
Natural calfskin

Buffalo
Used on the woven Puzzle bags. This is interwoven with Nappa leather. Not sure if the shinier leather is the Buffalo or Nappa in this case.

All pictures from the official loewe.com website.

I'll start with the leather types I know of and (shortened) quotes from other members regarding their characteristics. I hope they don't mind

Classic calfskin

Smooth calfskin. Most Puzzle bags come in this leather.
Loewe leather is not as fine grained or as smooth and supple as Swift but it is more durable IMO.
The classic calfskin leather is more like a mix between Swift and Togo, thicker and with more body than Napa but smoother than Togo
I just got a Puzzle in the smooth calf leather and I find it a lot more durable than Swift. Also, I saw a youtube video of a woman with the same bag and color who has had it far longer than me and she said it still looks new.
Soft grained calfskin

Slightly pebbled texture. I read it slouches faster than the classic calfskin.
The small grain calfskin is very much like Togo. They have another grained calfskin which is more like Clemence but I believe this is not used in the Puzzle.
I have three bags in Hermes Togo or Clemence, which is really similar to the pebbled leather Loewe uses as an option for their puzzles. I wanted something different in a slightly more "dressy" smooth grain this time and no regrets.
Nappa calfskin

... Loewe Nappa is similar to Swift. The vintage Nappa they used in the 90s/00s was extremely soft and puddly, the one today has a bit more body.
Suede
Their signature leather.
Natural calfskin

I have checked and the men’s Puzzle comes in what I believe to be a bigger grain calfskin and in natural leather (equivalent to Barenia) but these are not available in the women collection.
Buffalo
Used on the woven Puzzle bags. This is interwoven with Nappa leather. Not sure if the shinier leather is the Buffalo or Nappa in this case.

All pictures from the official loewe.com website.
