Yes, that is what I've been asking for going on almost 3 years now as you can see in my original post from 2008:
I've been asking for even longer for a way to disable the lone master "Webmail" icon in cPanel as well. I can't tell you how many times I've received support tickets or calls from customers saying "I went into my Webmail but nothing is there" because they don't realize (and I don't blame them at all) that the mast Webmail icon is not for the mail address that they created after they logged in. One might argue that there is a video tutorial for that but I have disabled the video tutorials because they include videos about a bunch of features that I have disabled in feature manager and the videos just make customers ask "how come I don't have all the icons that are in the video".
So yes, PLEASE, it would be REALLY REALLY GREAT if we could:
A) DISABLE THE REMOTE mySQL ICON, BUT LEAVE THE OTHER mySQL ICONS IN-TACT
B) DISABLE THE MAIN WEBMAIL ICON, BUT STILL GIVE CUSTOMERS ACCESS TO WEBMAIL VIA THE EMAIL SECTION (and via example.com/webmail)
Those to icons have been a thorn in my side for years (I have another thread somewhere from years ago asking if we could please be able to remove the webmail icon with Feature Manager without it disabling webmail access).
I wasn't ever going to bring either thread up again since start them plus bugzilla request plus direct requests / suggestions to cPanel never got us anywhere so I just gave up. I'm glad someone dug this thread up from way back since based on the reply, apparently the first sentence of the first post is finally being taken into condiseration
