Bump!
I’ve recently started having this. EVERY DAY me studio does an update, and EVERY TIME it breaks the taskbar shortcut. I’m really growing quite tired of it!
I do believe there is a solution, that being if I made an executable that finds the most recent version of studio downloaded and runs that, other than that all I can hope is that there’s a fix.
Yo actually might do that that’s cool idea
this happens with the actual roblox app too and i hate it sm 
Solution:
If you have python installed, copy this code then change the file path as specified, compile this into an EXE and pin to taskbar
#Search for Roblox Studio then to Open File Location then copy the file path in,
#The path below is mine but you'll need to alter it.
#Depending on OS the shortcut may not be a .lnk
import os
import subprocess
shortcut_path = r"C:\Users\*****\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\Roblox\Roblox Studio.lnk"
if os.path.exists(shortcut_path):
os.startfile(shortcut_path)
else:
print("Shortcut not found:", shortcut_path)
EVEN BETTER:
I have created an executable that will open Studio on your device; pin this to your taskbar and it’ll work forever!
You can download it from my Repository.