Actually with all my modding I have noticed that the Vasari have a base rate of repair that is 3 times higher then TEC and Advent
Not sure I understand what you mean, or how you get 3x "base rate"?
If you meant Passive Regen rate, then no... its the same as everyone elses.
If you mean the repair structure heals 3x faster than the others, then... no its a static 15 damage per second.
If you're averaging the repair rate of all vasari repair abilites (ie Repair platform + Overseer + Skirantra + reintegration / 4) then yeah, i can see why thats probably 2-3x the average rate of the others.
And Beric, I wouldnt say the Vasaris repair sucks the worst, but rather arguably the best. Where as TEC have two healing methods, Vasari have 3.+ (.+ being reintegration which only effects 2 ships). It all really boils down to the effectiveness of Overseers in comparison to Hoshis, which on paper, overseers are better, but in game, Hoshis seem to do a better job. So I'd say its TEC, followed closely by Vasari, and then Advent for overall ship repair.