I'm pretty sure Muse won't be changing ship models anytime soon, as such, this is not a serious solution. Even if they were willing to put in the work to basically make a new ship, there are definitely other ships for them to work on. Say, the Mobula, or the Spire, or even just by making a new ship. You've been playing this game for a while Richard, you should try to come up with something Muse could actually do. While I can't speak for anyone else here, I'd certainly be interested in what you think would be a workable solution.
There is nothing that can be done with numbers. No workable solution. The Pyra, as it is, is still the most used ship with the best win/loss ratio. It has two forward facing guns and plenty of gun pairs that work amazingly well (golden pairs). It has two free crew members most of the time. It is easy to get to all key components with the last crew member. It is a small target.
You have to change some of those aspects to be able to make the Pyra better without making it better than the other ships. Which, given its record, it still is. You have to trade something to get the nimble turning and high speed lawn dart back. So, what aspects can we change just using numbers?
Let's look at some of those aspects.
The golden pairs problem.This can be fixed in two 'just numbers' ways. Nerf the guns or tie up a crew member to keep them off a full time gun. They tried nerfing the guns (people cried). This also effects all the rest of the ships and detracts fun from the entire game. Not a good option. The other option is to make it harder to keep two guns on a single target. We will look at those in the next point.
The idle crew problem.Idle engineers make great gunners. On the Pyra, you have one engineer whose sole purpose is to fire a gun... oh, and fix that balloon thing two steps behind you once in a while. Let the other engineer fix the everything. Except now they can't. The hull is so thin that it needs two babysitters to survive the most feeble attacks. They are now trying tying up a crew member through lower hull health (people are crying more) to try to reduce firepower. This makes the Pyra a gunslinger. Shoot first or die fast. It is a one trick pony. It also increase the NOT FUN aspect.
The lawn dart problem.They are compensating for small size and great assault firepower by slowing the ship down and making it easy to flank against (tears nonstop). This makes it a gunslinger in a wheelchair with one blind eye. Shoot first and hope no one ever comes from any direction other than your front. The NOT FUN needle goes through the roof on this one. You HAVE to position your ship correctly on first contact. You HAVE to fire first. And you HAVE TO hope no one breaks your armor. You have to do all of this because there is no escape if you do any of those wrong.
Are any of these decisions wrong? Not from a balance standpoint. Since it is already statistically the best ship, and it has been nerfed accordingly, what people are asking for is not balance. They are asking to make it a more FUN ship. They are asking for it to be more than a blind gunslinger riding a one trick pony.
So, let's recap the story so far. I remember a time when an entire team would quit the instant they saw a double metamidian on the other team. Back then, it was FUN to fly them. They were fast, nimble, easy, and deadly. That is why I never once in my entire time playing this game took one. Easy is not fun to me. So I found creative ways to beat them using tiny arc crosses with odd guns on little used ships. The game was 'Guns of Howtobeatametamidian' if you did not simply take one.
Fast forward to today. The Pyra is more balanced with other ships (yet still wins more), and is taken much less (though still the most) and is now NOT FUN to fly. To make it more fun to fly would make it overpowered again and the skies would be full of them again. This is the Pyramidian Paradox. It is too good at the one thing it does well.
Given that any buff to the numbers will only increase the Pyra's overall win rate and use, and any debuf would make it even more dismal to fly or ruin other ships, nothing can be done there. You are either going to make it more overpowered, or less fun. The only option left is to change the ship so that the numbers can be changed to make flying it fun again without making it more overpowered.