As described, your iPad with iPad 27 installed is behaving entirely as expected.
Apple Intelligence cannot be removed from iPad models that support this feature. The feature itself can largely be disabled, but its associated LLM and assets cannot be fully removed.
Regrettably, you may struggle with an iPad that has so little internal storage. These 32/64GB devices are primarily intended for use in Educational settings, or in environments where the ability to store local data on the device is not required.
If deleting assets from your iPad is not releasing sufficient storage, a workable remedy to (at least temporarily) improve available storage is to first ensure that you have either an iCloud or iTunes backup of your iPad - and then completely reset and erase the iPad - and then restore your backup to the iPad. This process will eliminate all cached and temporary data.
How to back up your iPhone, iPad, and iPod touch - Apple Support
Erase all content and settings:
Settings > General > Transfer or Reset iPad > Erase All Content & Settings
After the reset, set-up the iPad with your AppleID - and restore the backup to your iPad:
Restore all content to iPad from a backup - Apple Support
When choosing an iPad, you would be well advised to purchase as much internal storage as your budget might reasonably allow - as internal storage (and other hardware) cannot be changed, upgraded or extended. The available internal storage is fixed for the entire life of the device. If you run out of internal storage for your documents, photos and other data, you will forever struggle and become a source of frustration. It is far better to have more storage than you need, than to need more storage than you have.
Choosing a low-capacity iPad may initially be attractive due to their lower cost, but may ultimately become false economy as device software updates make increasing demands upon a device's limited available resources, in particular internal storage that is used for the OS and associated software assets in addition to user data. For iPadOS 26, you might reasonably anticipate +20GB being required for the OS and System assets (e.g. Apple Intelligence) plus 10-20GB being needed for caches and system data.
When selecting an iPad, a good rule of thumb is to quantify how much data storage you will need for your own data - add a healthy margin - then double it. If you are unable to quantify your data storage needs, it becomes more difficult. Whilst I and others cannot make definitive recommendations for your personal needs, objectively I would council against purchase of any iPad with any less than 256GB storage, 512GB and higher having a greater margin for growth.
Within the Apple Support Communities we see regular tales of woe and disappointment when storage requirements are exceeded, necessitating replacement of the device; by contrast, we never see complaint of having too much available storage. It is relatively easy to fill limited internal storage space; perhaps consider higher tiers of storage as providing room for growth as your needs develop or mature - potentially extending the useful usable life of the device.
