Whether you contemplate death of self or your immediate loved ones, if you could make sure that (when death come to you) you will face it as a disciple who have attained path-fruition and not as a lay person with false-views, then you have done what is right. When doing it, try to do the ‘Nava Sivatika’ (Nine cemetery contemptations). This is the last exercise in mindfulness of the body. You could do this contemplation of the body's disintegration after death either imaginatively, or with the aid of pictures. Then this clear mental image of this decomposing body, you apply to your own body, or that of your loved one, considering:
"This body, now so full of life, has the same nature and is subject to the same fate. It cannot escape death, cannot escape disintegration, but must eventually die and decompose."
If there is one single word that is more important than any other in the whole of the Dhamma of the Supreme Buddha, it is URGENCY. In whatever way, if one could develop a sense of urgency, and in your case what you have stated above, then by all means stick to it. Do you think that everyone in this world will develop a sense of dismay (samvega) with what is happening around you? Who would ever see the other side of life - the universality of suffering? Of those who see life in this way, what is the percentage that will develop an attitude of heedfulness (appamada) to avoid being duped by types of desires that come our way? How many will have a sense of urgency towards the practice of Dhamma? So whatever means that you will employ to instil a sense of urgency, then that is the way to go.
What the Buddha has said is patisotagami or against the current of conventional thinking. Buddha knew this well. That is why He said, “Dear Bhikkhus, ones who would not realize this Dhamma is like this earth (in amount). Ones who realize this is like this small amount of soil on my finger nail.”