I have a Petrel 2. As soon as I get my act together to write up an ad, I will be selling it. Things I don't like:
It's like a brick on my arm, constantly getting in the way if I stick my arm in a hole or between, say, two tanks on a boat. Also hanging up on my harness when I'm donning/doffing my rig.
No AI option. I use and love having AI on my recreational computer. I review my gas consumption on all my dives and I really like being able to see the data on when I'm good, when I'm bad, and what my numbers are, for planning purposes. It's not just a number for the whole dive. Subsurface (PC or Mac software) lets me see momentary consumption for any point during a dive. I can see that my overall RMV for a dive might have been 0.52 cu-ft/min, but that it was actually .7 or .8 right when I first got in and was getting sorted and then as low as .35 or .4 when I'm literally drifting not moving at all. I think that's useful for planning purposes.
The button positions on the Petrel annoy me. When it's on, say, my right forearm, reaching the button on the right side of the computer while I'm holding it directly out in front of my face requires a somewhat uncomfortable contortion of my left hand. Plus, with gloves on I can't really feel the buttons and sometimes when I try to work them just based on knowing where they are, I miss. All in all, not a big deal, but it does annoy me a little every single time I use my Petrel.
The Perdix is claimed to be 30% smaller. But, the specs say that the thickest portion is the same as the Petrel (39mm - according to the Shearwater website, but I suppose that could be a copy/paste error on their part as both the Petrel 2 and Perdix are listed as 83 x 74 x 39mm). So, I am not convinced it will really make much difference when I'm trying to get my harness on/off. And the buttons are the same as the Petrel. And it still has no AI option.
If I can sell my Petrel for enough to let me afford it, I plan to replace it with a SeaBear H3. It's 13mm thick (vs 39mm). It's sized roughly like a watch and uses a regular watchband (which I would replace with a NATO band so I can't lose it if one strap pin breaks). Some people even think it looks nice enough to wear as your watch during surface intervals. It does everything the Petrel 2 does except it doesn't have Bluetooth (but it does have NFC for wireless downloads) and it does not have an option for the VPM-B algorithm. The buttons are laid out at an angle that looks more ergonomic, to me. And it has wireless air integration as an option that is coming out. I was skeptical about that part but I was recently told by someone in the know that the AI transmitters are sitting in a warehouse and the only reason they haven't been released yet is they are trying to figure out what to do about rebranding them from SeaBear to ScubaPro (or whatever brand they're going to put on them).
The H3 also has a slightly more sophisticated user interface than the Petrel/Perdix. They are both 2 button computers, but the Petrel/Perdix only recognizes single button pushes. The H3 recognizes long and short button pushes differently, so the 2 buttons on the H3 are sort of like having 4 buttons compared to the Petrel/Perdix. It just makes it a little quicker to navigate for some things, I believe. E.g. On the H3, a gas switch (i.e. on a decompression dive) normally only takes 1 button push where the Petrel/Perdix normally takes 2 button pushes.
Also, the H3 compass supports setting 3 different headings where the Petrel 2 only allows 1 - if I am recalling correctly. Not a big deal at all, really, but if I'm doing a real compare and contrast....
The H3 is rechargeable and requires a proprietary charging cable, so that's not as nice as the Petrel taking any AA-sized battery. But, you can't use AA batteries and have it be as thin as the H3, so I'm willing to live with that tradeoff.
The H3 is $100 more than the Perdix. I think I'll probably decide it's worth that extra money for the smaller size and the option to add AI later. But, only you can make that value call for yourself.
It's just another option to consider.