If those researches you are refering to are used to unlock abilities, researching multiple levels improves the effectiveness of the ability you initially unlocked. In addition to phasic trap, the Vasari hull reintegration second level increases the Skirmishes healing ability from 16 hull/sec to 24 hull/sec. I'm trying to think of a non-Vasari tech but all I can think of is the Advent antimatter recharger which I don't have the numbers for.