In the real world it generally means to order, with the implication that there are consequences to failing to appear, and the consequences in this case are clear from the juxtaposition of wanting to shut up exiled journalists and summoning their families.
In mythology it typically implies incantations etc. forces the entity to appear.
There's nothing soft about that wording. If anything "to summon" is often used to imply a level of disdain and lack of legitimate basis that is not implicit in "to order"
To summon is the correct word in this case. The fantasy meaning comes from thee power politics between one that summons (usually: a king) and the one being summoned (usually the serf).
As such, current understanding is closely aligned to the etymological meaning.
https://news.un.org/en/story/2025/12/1166481
https://en.wikipedia.org/wiki/List_of_journalists_killed_in_...