I always interpreted stone having omnipotency. And just reading the script of their future actions. like when he realizes the casette would fall, their mind goes to "I have to remember to moce Soda Bottle out of the way" And when they feels uncomfortable is because he is trying to change things sort of ala Garnet from Steve Universe when things dont take their intended route, the future can be cloudy or uncertain. So provably stuff like taking Scenty's Notes were not planned, since they was super pressured there. Or when they gave Backpack the signal feed for their own home dimension, was a selfish act on their part just so they can recognize and see that the future they wanted is happening. a very different and complex take for sure, but i feel it makes up for the reason why an omnipresence character would feel nervous, or unsure of their own actions.
But really, if he did then at first they think he’s some weirdo. Then when he saves soda bottle from a falling cassette tape, they might believe what he says, some people calls that convenient, but soda bottle calls that nonconvenience (that’s not a word)