Star Wars has always dealt with classic tropes and themes.
The idea of the feral child raised by animals or the changeling is such a trope.
We see in Tarzan, The Jungle Book all the way back to Romulus and Remus and beyond.
I had a thought which might give Jar Jar a bit more character interest.
What if he was raised by humans, specifically Padme's parents (I know this sounds on the surface sort of like Threepio being built by Vader but bear with me a minute)?
That would explain him being rejected by his own people much better than just be clumsy. It would also explain him being clumsy with their tribal weapons (he has never used them before).
He could start of the film on Coruscant as an aide to the Queen (her father found him in the forest and took care of him).
He could be re-dubbed as being being grateful to the Naboo who raised him but at heart wanting to serve his people in a Senate they want no part of.
The deleted scenes in AOTC which show Padme in her bedroom could be trimmed and adjusted so the holographic photos show Padme growing up with Jar Jar as a sort of adopted brother. In AOTC as it stands we have Anakin calling Zam a Changeling, those lines could be manipulated to refer to Jar Jar.
When the Senate wildly votes to give Palpatine emergency powers he could vote against the Chancellor and face ridicule defending what his adopted sister would do.
He could be in briefing room with Mon Mothma in ROTJ (he should have been Ackbar in the first place but it would be one way of giving the character some arc.)
Give him command of a ship in the final battle rather than the last words in the saga in that ridiculous patois Lucas gave him.