Don't relatives of the dead be mobilized only if a relative died in service?

According to Article 23 of the Law on Mobilization Training and Mobilization, women and men whose close relatives (husband, wife, son, daughter, father, mother, grandfather, grandmother or relative (consanguineous, non-consanguineous) brother or sister) died or went missing during an anti-terrorist operation from among:

• military personnel or employees of military formations formed in accordance with the laws of Ukraine, which protected the independence, sovereignty and territorial integrity of Ukraine, who died or went missing during direct participation in an anti-terrorist operation, ensuring its conduct, being directly in the areas of the anti-terrorist operation during its conduct;

• employees of enterprises, institutions, organizations who were involved in ensuring the conduct of an anti-terrorist operation and died or went missing while ensuring the conduct of an anti-terrorist operation directly in the districts and during its implementation;

• persons who died or went missing during direct participation in an anti-terrorist operation, ensuring its implementation, being directly in the areas of the anti-terrorist operation during its implementation as part of voluntary formations that were formed or self-organized to protect the independence, sovereignty and territorial integrity of Ukraine, provided that in the future such volunteer formations were included in the composition of military formations and law enforcement agencies formed in accordance with the laws of Ukraine;

• persons who died or went missing during direct participation in an anti-terrorist operation, ensuring its implementation, being directly in the areas of its implementation as part of voluntary formations that were formed or self-organized to protect the independence, sovereignty and territorial integrity of Ukraine, but in the future such volunteer formations were not included in the composition of military formations and law enforcement agencies formed in accordance with the laws of Ukraine, and performed the task of anti-terrorist operations in cooperation with military formations and law enforcement agencies formed in accordance with the laws of Ukraine.

Unfortunately, you do not belong to the category of such persons according to the criteria you mentioned.