So the Braganças are accorded a semi-official role similar to the Romanian situation?
No, but the Portuguese president alluded in his speech to the fact that the Grand Duke is a direct descendant of King Miguel I, who, according to him, was also "present here", like D. Miguel's brother, D. Pedro (I of Brazil and IV of Portugal), "in the person of the heir of centuries of history of Portugal that we respect and invoke always, an example of what Portugal is, and democratic Portugal" (unofficial literal translation of what he said in Portuguese).
Miguel I of Portugal > Infanta Maria Antónia of Portugal > Prince Felix of Bourbon-Parma > Jean of Luxembourg > Henri of Luxembourg.
The Grand Duchess has an portugese order as she wore on at the portugese State Visit to Luxembourg in 2017
Seems she did herown thing like not wearing an Hat for the funeral of her father-in-law for example.
The Wikipedia lists the following Portuguese orders for Grand Duke Henri and Grand Duchess Maria Teresa:
Henri, Grand Duke of Luxembourg :
Grand Collar of the Order of Prince Henry (6 May 2005)
Grand Collar of the Order of Saint James of the Sword (7 September 2010)
Grand Collar of the Order of Liberty (23 May 2017)
Grand Collar of the Military Order of Christ (11 May 2022)
Maria Teresa, Grand Duchess of Luxembourg :
Grand Cross of the Order of Christ (6 May 2005)
Grand Cross of the Order of Saint James of the Sword (7 September 2010)
Grand Cross of the Order of Prince Henry (23 May 2017)