[BUG]: Hana to Taiyou to Ame to - Various SW and HW rendering issues, random crashes on fast boot

[HeroponRikiBestest]

Describe the Bug

SW Rendering issues-
A lot of stuff was thankfully fixed by #5024, but some issues remain.

• The pull got the rolling vertical bars during dialog scenes working; however, they incorrectly persist into black screens, where they should not be visible.
  
  gs_20211209052937.gs.zip
• Additionally, the parts of the rolling bars in the top and bottom of the screen are supposed to be less visible, instead of maintaining the same opacity.
  SW Renderer:
  
  gs_20211209052805.gs.zip
  Real PS2:
  
• While the pull fixed the depth issues in the Katherine investigation screen, a seam still appears on the Lospass guidebook.
  SW Renderer:
  
  gs_20211209053718.gs.zip
  Real PS2:
  

HW Rendering issues-
Everything #5024 fixed is still broken on HW. Namely;

• Rolling vertical bars are not present during dialog
  HW Renderer:
  
  gs_20211209052758.gs.zip
  See SW rendering section for picture of how it looks on a real PS2.
• Depth issues on Katherine investigation screen
  HW Renderer:
  
  gs_20211209053713.gs.zip
  See SW rendering section for picture of how it looks on a real PS2.
  Beyond the issues that were fixed in GS SW: Handle flat prims without float conversion #5024 for SW, two more HW rendering issues remain.
• As seen in the previous screenshot, on HW, static images of previous scenes remain throughout the game.
  HW renderer:
  
  gs_20211209053114.gs.zip
  SW Renderer (correct):
  
  gs_20211209053121.gs.zip
• Some sort of priority/depth issues on the title screen. (This was correct on SW even before GS SW: Handle flat prims without float conversion #5024, so it's not that).
  HW Renderer:
  
  gs_20211209052607.gs.zip
  SW Renderer (Correct):
  
  gs_20211209052613.gs.zip

Outside of rendering issues, the game is prone to random crashes if Fast Boot is being used.
Log: emuLog.txt

Reproduction Steps

Rolling vertical bars: enter any dialog sequence
Katherine investigation screen: enter any investigation sequence.
Crash on Fast Boot: start a new game, and just wait during the intro without advancing text.
The GSdumps should suffice, but if more instruction is necessary, please let me know.

Expected Behavior

I laid out the expected behavior in the bug descriptions.

PCSX2 Revision

PCSX2 1.7.0-0 - compiled on Dec 9 2021 (daily ppa doesnt show git number)

Operating System

Linux (64bit) - Specify Distro Below

If Linux - Specify Distro

Linux Mint 20.2

CPU

AMD Ryzen 7 PRO 4750U with Radeon Graphics

GPU

Integrated graphics, see above

GS Settings

No response

Emulation Settings

No response

GS Window Screenshots

No response

Logs & Dumps

No response

[MrCK1]

Checked the last dump and this is still broken on v2.1.144. Same likely applies for the others as well

[Mrlinkwii]

dose anyone know the status of this , the game has automatic fixes added in #10637 and their was additional fixes in #12185 which means the gs dumps already on the issue might not be helpfull