Not at all true, fiercely eurosceptic massively outnumber fiercely pro EU, at least two to one, with the largest group being the undecided that lean in naturally due to it being the closest option to being the status quo, there are three things really that will turn it from probably close in to a close out:
1) bad weather, get the massive group of undecided possible voters out of the picture
2) sustained mild events that slowly pushes people away from the EU
3) a major event the week of the referendum such that there is the significant swing to it that is still there on the day.
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