Windows 10: SSD shown in Safetly Remove Hardware and Eject Media

If by 'back up my computer' you mean make an image of your disk (or just the C: partition), then yes, completely recoverable.

However, any internal hard drive is a basic component and Windows will install at least a generic driver as soon as you start up, so unless there is something specific about the current driver that allows you to do something outside of ordinary then you will see no changes in function.
It is not a risky process.

One problem you may have is that Windows stores all the drivers you have installed in the Driver Store. If an old driver remains there then Windows may decide to reinstall it. If you are asked to delete all drivers along with uninstalling the device, do so.

How Devices and Driver Packages are Uninstalled - Windows 10 hardware dev

 

Do you have Intel Rapid Storage Technology Driver installed now? (One of the versions posted on your motherboard's website)

Have you ever installed IRST?

 

If you go into Device manager and the Properties of the Storage Controller, is that setting there unchecked?

 

I have installed IRST before and it seemed to do basically nothing so I uninstalled it. I currently have Intel Control Center and Intel Driver Update Utility installed, I'll likely get rid of both soon since I'm sure these were failed attempts to solve the problem.

 

I don't use Marvell Storage controllers so my menu tabs are a little different. The controller properties doesn't have a polices tab, but the individual disks in Disk Drives does. This is what it looks like as of right now:





This is the properties for one of the culprit drives.

 

There's a workaround you can try Here which worked for me in Win 7 and should work in Win 10 and also you might find a better matching driver Here and ultimately it is a driver related issue and when you find the right driver the entries should disappear

 

My registry doesn't have a msahci key. Also I went to that website you linked for the drivers before to fix this problem, either the driver wouldn't install or it didn't have any change.

 

Try to do the same in the HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Services\iaStor which in my case at least (Win 10 Pro X64) is the entry for the Intel AHCI driver (For lack of better name as it's really just an inf file). Did you install it manually from within the Device Manager as Fernando recommends. Of course back up your registry or take a system image before adding the reg entries

 

I have a iaStorA, iaStorAV, iaStorDataMgrSvc and a iaStorV in my registry under the path HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Services\

Which one should I add the key to?

And I take it you mean for me to add the TreatAsInternalPort key that someone linked a page ago?

 

Go to Device Manager expand your IDE ATA/ATAPI Controllers entry double click on the SATA AHCI entry go to the Details tab and in the drop down menu under Property choose Service which will show you if it 's iaStoreA or others you mentioned then create the reg entries as suggested in that Article I posted above. Create the Controller0 key by right clicking the iaStoreA or whichever entry was listed in the Service entry as above choose New then Key name it Controllers0 then right click that and repeat to create the Channel0 key then add the Dword in the right pane and restart. If it works then create the other keys to block other drives

 

Under Service it said storahci, so I did as that link said and there's no change.