This site http://www.bristolnomads.org.uk/stuff/double_tides.htm claims that Southampton's peculiar tides have nothing whatsoever to do with the Isle of Wight nor the Solent but these features do apparently have some beneficial effects:
The unusual phenomenon of the 'Double High Water' in the Solent and Southampton area is well known, but it is not caused by the existence of the two entrances to the Solent or the Isle of Wight as is popularly supposed. However, the two entrances to the Solent do cause other effects to the tide which are not so well known, namely, the 'Young Flood Stand' and the short duration of the ebb tide which are both valuable assets to the mariner.
Southampton and the Isle of Wight are the half-way point of the English Channel and it appears that the relationship between the Isle of Wight and the Cherbourg peninsula has given rise to four oscillations, a feature that is described as 'uncommon'.
Further on it transpires that there's no complete explanation for Southampton's tides.
This explanation and theory has come to light through continuous tidal observations since the early 1900s and although past hydrographers and research scientists have tried to discover a firm reason for this 'Double High Water' effect the remarkable tidal features shown in this tidal curve are undoubtedly due to modifications which brought about the existence of the two entrances to the Solent.