Well first of all Burghers are as native to Sri lanka as any Sinhalese, Tamil, Moor or Malay.. The only people that can truly contest against it are the native Vedda's.. Burghers are distinctively Sri Lankan, They're recognized as a distinct Sri Lankan ethnicity in it's constitution
As any other ethnicity Burghers do have social classes within the community, Most Dutch Burghers would like to consider themselves the rightful hires of the lineage, While there are others of many social and economic strata.. So there is no uniform parity.. So the answer to your question is.. No we dont consider ourselves superior
The term Sri Lankan Burghers these days are ambiguous, Decades of intermarriage have made the community endangered to say the least.. It is a very liberal community in it's out look.. Consensus does not show the true numbers, Most are mistakenly identified as Sinhalese or Tamil through marriage
Hardline language policies of Sinhala nationalist govt's in the 50's drove many Burghers overseas, Especially to Australia, UK and the North America, Where there are thriving communities still with very strong links to the motherland