While Finns tend to use the term "Romanian beggars", this can be inaccurate and misleading. I understand that this confusion could have arisen because "Romani people" and "Romanian people" sound similar in Finnish and some of them are from Romania. However, many of them come from Bulgaria as well – a very large community comes from the Bulgarian town of Pleven seasonally each year.
FWIW, the ethnicity names "Romani" and "Romanian" are not actually etymologically related, it is only a coincidence that they sound similar. You would think that after a decade-plus now of having Romani migrants very visible in the Helsinki city center, people could have learned a little more about who they are, and what drives them to make the long journey to Finland.