Expanding on that, it is a given that much ethnic hate on a widespread and personal level against the Jews before the Holocaust already existed. Did the same levels of hate and fear work in favor for the Romani genocide on the ground? How would civilians view the Romani?
In short, yes.
Roma, Sinti and related groups had been the subject of prejudice based on scientific racism and older prejudice before the Holocaust. Seen as either racially undesirable and/or in the wake of European nationalism as social outsiders in many European countries.
With the Nazis, the measures taken in Germany against the Roma and Sinti population or really anyone designated a "gypsy" (this did happen to people who were not Roma or Sinti too) were hugely popular, even with non-Nazis.
As for the issue of collaboration: There is comparatively little research on the genocide against Roma and Sinti outside of German but there is ample evidence that local collaboration played an important part in their persecution.
In the Soviet Union most Roma and Sinti who died there were killed by the Einsatzgruppen at the same time they murdered Jews and political opponents. From what we know about the Einsatzgruppen murders, local collaborators played an important role in the sense that the Nazis needed someone to point them to the local Jews and Gypsies.
In France, it was mainly the French collaborationist Vichy regime who arrested French Roma and thus helped the Nazis deport them to Auschwitz.
A most interesting and often forgotten case is the Ustasa Regime in Croatia. Establishing the third-largest concentration camp in Europe in Jasenovac, which simultaneously was the only concentration camp without direct German involvement during WWII, the only group they systematically murdered wholesale were the Roma and Sinti of Croatia. Not much is known what lead to this decisions but most Historians of the subject think it certainly had to do with previously existing prejudices and racial hatred against the so-called "gypsies".
Sources I'd recommend:
Ian Hancock, “Gypsy History in Germany and Neighbouring Lands: A Chronology Leading to the Holocaust and Beyond,” in The Gypsies of Eastern Europe, ed by David Crowe and John Kolsti (Armonk: M.E. Sharpe, 1991), pg. 14.
Till Bastian: Sinti und Roma im Dritten Reich. Geschichte einer Verfolgung, C. H. Beck, München 2001
Der Nationalsozialistische Völkermord an den Roma in der Sowjetunion
‘Ustaša Mass Violence Against Gypsies in Croatia, 1941/42,’ in Anton Weiss-Wendt (ed.) The Nazi Genocide of the Roma: Reevaluation and Commemoration, ed.