To what extent can you 'self-teach' kata?

Hi! I'm training in judo since around eleven years (give or take due to injury breaks), as well as traditional jujutsu since four years and I dabbled a bit with ryuha teaching weapons.

Anyways, due to my jujutsu-training I've started to take an interest in judo-kata as well. Yet my former judo-sensei (who now passed his dojo on to me) never really taught kata beyond the classic nage-no-kata. He focused more on competition and self-defense, in which he did teach atemi-waza, standing locks, leg grabs etc. as well, though.

So when I take a look at kata like kime-no-kata or seiryoku-zenyo-kokumiin-taiku-no-kata, kodokan-goshinjutsu and so on, I feel like due to my jujutsu and judo I already possess the required skills and knowledge to properly reconstruct them via demonstrations and instructionals - but am I walking into a trap here? Can I really catch the essence of those kata and call them proper in good faith if all I did was patchworking them into existence instead of having them been passed down to me by one on one teaching?

I'm trying to catch the occasional seminar on the more popular kata like kime-no-kata in the future, but other than that it'll be hard to find a teacher for them next to handling my own dojo and my jujutsu-training, I'm afraid.