True, but since apparently 49% of Remain and 71% of Leave voters believed in at least one conspiracy theory, it doesn't look brilliant for the average Remain voter either. It depends also on which conspiracies either side believe.
Just looking at the data, the starkest divides are in the attitudes to Muslims (31% of Leave, 6% of Remain voters believing that Muslim immigration is "part of a bigger plan to make Muslims a majority of the country’s population") and immigration in general, ie that true immigration figures are being deliberately hidden. I am not sure that the second of these, at least, is that outlandish or crazy, even if it's probably wrong (the real truth is more likely to be that the government doesn't actually know; cock-up is always more likely than conspiracy).
Amongst the rest of the theories being asked, I'm more comforted by the figures being relatively low (ie, low suspicion of vaccinations, or of climate change) than anything else.