What did you do to this poor clutch?
Anyway, the clutch delay valve is a known thing among many cars.
I had done it on 2004 Elantra. Then I had 2009 model and the most recently 2015 Forte5 SX. Again, all of them reportedly had the delay valve.
I could see improvement in 2004 Elantra. I did not do anything in 2009 Elantra as I could not really say if the valve was doing anything. Maybe a tiny bit, but nothing like 2004 had.
Even less noticeable was in Forte.
Hence in the end - I did not touch it at all.
Some say it is a huge improvement.
I cannot say anything. I can say, though, that I was happy with OEM setup of the clutch master cylinder. Maybe, there is a chance, the previous owner removed the valve... hence my good experience.
What you need to do is to look into the master cylinder (this is the thingy that pushes the brake fluid from your clutch pedal to operate the clutch).
Transmission does not need to be open. I do not see a connection here. Unless I am talking about something else.
I could be wrong... I have been wrong before, so who knows.
Regardless, there should be a valve that limits backflow from the slave cylinder what results in "slower" clutch release. Hence, one may not be able to very quickly dump the clutch.
How it looks like - I am not sure. Old Elantra had a spring loaded valve.
There is a chance this sits on the slave cylinder... but it would not really make much sense as you want limit the flow at the end of the path to not cause "depressurized" areas when the clutch pedal is released.
You understand operation of it, right?
It is a hydraulic system. There are two cylinders. Master on the top and slave on the clutch. Master is operated from clutch pedal and it pushes via hydraulic fluid onto the slave.
You push, it will lift the clutch. You let the pedal go - spring will help to bring it back up and clutch is released. The fluid flows back, but there is a flow limiting valve that does not allow for too sudden movement.
I could drop the clutch, burn tires... all was fine.
Nothing bad will happen if you remove the valve. Only your operation can destroy the clutch. With the valve in, inexperienced driver will be able to mess it up anyway.