That's correct if you're uninstalling an app on the tablet or smartphone. I'm talking about using the Google Play Store at: on a desktop PC, not a tablet or smartphone. Google lets you add apps remotely to a tablet or smartphone, but not remove them. It also does not let you remove unwanted apps from the list of apps under "My Apps" even if you've already removed them from the tablet or smartphone. That leaves a mess in "My Apps" on the desktop which can only grow, not shrink. If you use the help ("?" on the "My Apps" web page), it offers instructions for how to remove apps only on the device, not the web page. So much for remote admin.
I won't say anything nice about navigating through the icon forest on the "My Apps" pages. Also, if you reduce the number of icons shown by filtering it with the "All Apps" pull down on the top bar, the only option available is to rename the device. The good news is that if you do filter by your Android device, it does not include previously removed apps in the listings. If you try to use the search box at the top of the web page, it will search the entire Google Play Store, and not the apps on the selected device. If you decide to inspect one of the apps by clicking on the icon, when you exit the description of the app, it returns you to the top of the list, not where you left off. This can be painful if you have a large number of apps since the Google Play Store web pages were apparently written without the benefits of continuous scrolling. You have to wait for all the icons to slowly display before you can click the "Next Page" button just so clear the page, and start over with a new collection of icons.
The list of Android devices under the "Settings" (gear icon) is consistent, where you can only add devices, not remove them. My list has 11 devices and is growing. At least it has a checkbox that lets you hide old devices.
My guess(tm) is that the all important Google Play Store web pages (not the app on the Android device) was originally written with some consideration of using it to remotely manage a tablet or smartphone. They ran out of time, abandoned the idea in its current manifestation, and let it rot leaving users to try and manage their apps on the device.
Please find a desktop and go to "My Apps" at: and try to do anything useful except add apps. You can't.