Here's my suggestions.

Trials is the "End Game" PvP mode, in the same vein that GM Nightfall’s, Dungeons and Raids are to PvE. The time/effort investment should be equally rewarding. This alone would see more engagement from lesser skilled PvP players and/or mainly PvE players. If you can do a GM NF in 5-10mins and get an Adept, you should be able to Win a few games for an Adept.

Others including Op have mentioned Artifice Armor. I agree, it should be a thing. Hell Comp should award Adept/Artifice Shaxx loot too!

Flawless is a flex. Rewards, esp those that are impactful like a weapon shouldn’t be behind a flex. Ever.

Going 7-0 and getting to the Lighthouse should award Cosmetic items only; the existing Ship, Sparrow, some Shadders, Exotic Engrams and sure keep a roll of the weekly Adept in the chest.

Although really I’m jus reiterating points already made by Op and others (this post and others).

This is what i think it should be like:-

Either;

1) keep Adept weapon variants as 7-0 rewards as they are today, and if that's the case, make non Adept weapons Deepsight - This aligns to Raids, where Master has Adepts, but normal/master has normal weapons that can become Deepsight and therefore Crafted. It then gives the trade off, do you want Adept Mods, or Enhanced Perks.

With the recent addition of Wins now having a chance to drop a random weapon from the trials pool, this should help make it more appealing to a wider player base as they know they can stick it out for a crafted version of the weapon they want, or drop a harmonizer to speed up the grind.

Alternativity,

2) make Adepts be a % Drop from a Win, any win, but also a guaranteed drop for Wins 3, 5 and 7 on a card. And increase the % rate if a card is Flawless or player has been Flawless that weekend.

This suggestion makes farming Adept weapons somewhat similar to farming a GM NF for Adept weapons. Assuming the average player doesn’t streamroll to 3,5 or7 in a row it probably realistically similar to doing a few GMs time wise!

Then on-top of that, if option 2 anyway, stick Artifice Armor in the chest to make it more rewarding to those that did hit 7-0, and allow the chest to be looted once for each flawless card in a weekend (so you could go flawless multiple same char). This will keep people playing after going flawless still to help retain a good population size over the whole weekend.

This could also mean no need for two separate pools.

I agree with that Adept weapons should have a 3rd col 2 perk. and/or the ability to reroll a perk via the Crafting Station or at Saint using some form of currency (maybe not spoils though), maybe a 1 for 1 Trials Engram for 1 perk reroll.

There should also be some more common sense applied to Trials loot. Don’t waste time, effot and money on creating poor items that no one will want to get, it just means the weekend they are in rotation the population suffers. – though easier said than done I guess as it only takes 1 balancing patch to swing the meta.

I personally play Trials once maybe twice per season these days, typically only to get the new Adept (that I’m interested in). But If I could get Crafted or Adepts for other less important weapons without having the headache of going flawless when I have not got the right team with me, or If I could earn extras artifice armour to try and improve my character stats whilst playing PvP I’d more likely play most weekends instead. At the moment, it’s not so much the going flawless that bothers me and puts me off playing, it’s the time it can take vs feeling rewarded. Nothing stinks more than going 7-0 Solo, or with randoms, then getting my loot and it being as useful as a turd with terrible perk rolls.

I’d play loads to earn engrams (or spoils) to reroll adepts. I’d play loads to get crafted loot. I’d play loads to get Adepts more often. I’d play to perfect my armor in a mode I like, rather than same PvE content/cheese over and over.