Unfortunately, not everybody has the option of updating via a computer (including me). For a supposedly stand-alone device, it shouldn’t be necessary.
iPadOS 14.8 is listed as a 309MB update to my OS, so it shouldn’t require 6 GB of free space to install. Normally, if space was an issue, the system would tell me that BEFORE it would let me download. My iPad Air 2 downloaded it (in 30 seconds) but never made it into the preparation stage; when the status should have been “Preparing Update” following the download, it instead read “Update Requested” and kicked out the aforementioned error. The first several attempts never created a file for me to delete from storage. The same iPad, over the same network, moments later, and with no modifications to the amount of space available, was able to download iPadOS 15.0.1 - listed as 2.33GB in size - but that update failed to make it past the verification stage on an attempt to install it - THAT was likely a matter of available space. My next attempt after that to install 14.8 also failed, but took considerably longer to do so, and cleared another 700MB of space after it failed - space that was mysteriously occupied again after a restart. All that makes me think there’s more going on here than a shortage of available storage.