I don't think indifference can be received.
We can spread and receive care, empathy, or even sympathy, but indifference is not something that can be clearly defined, at least on the receiving end.
Indifference is more of a given from all the objects around us – it is natural for there to be no care from the outside world; it is normal for there to be an interaction between entities, but no self-producing element to these kinds of interaction. Someone might have an incentive to interact with another person because the interaction itself can bring them benefits/joy (say, celebrities or scholars), or there exists a responsibility to interact (say, proctors), but who would be self-motivated and simply willing to interact with another entity and recognize their existence?
Well, there are some people, out of curiosity or inspiration or all the time in the world that only a freelancing free-rider would have, who actually walk out to make those interactions.
Most around me are not. They have great visions for their future, a sense of humor that retains not the littlest of vulgarity, labyrinthine ideas worth spreading, and a lack of attention to those they cannot perceive with their own eyes – the quality of their existence can't really be described in words.
We can also receive indifference from them. Or...oh sorry, I meant lack of attention. The lack of attention is like an air barrier around them; some special diffraction of light enables the vanishment of entities around them. Only under this special property of indifference might you find the rare occasion of perpetuated indifference – an indifference that can be received.
Is that really so?
When one receives indifference, there are no perceptive differences to that sensation – you cannot describe what perceptive effect was established on the person receiving it. Why? Because the given for individuals around you is no interaction, and the indifference is not differentiable from the no-interaction from the vicinity.
We cannot model a threshold at which people should show some sort of interaction and state that a lack of intentional interaction beyond that threshold implies indifference because such a threshold does not exist.
Indifference, thus, is created on the receiving end and purely at the receiving end. The "giving" end does not play any concrete role in this process.
When a person creates contrast and comparison to those around him and concludes indifference, he is in that moment experiencing and receiving indifference.