The share price isn't going to skyrocket at all, until US delisting is no longer a threat.
As for direct competition, they would need to be competing in the same markets to be taking each other's market share. Alibaba entered the US in 2014, and exited in 2016.
Then there is the whole Jack Ma disappeared for 9 months thing. Even when Trump was US President, nobody worried that Jeff Bezos would disappear for 9 months.