I play chess against friends that I've know along time. Part of the fun is the abuse that is driven back and forth, I'd gladly send such trophies.
Why give an uncomplimentary trophy?

Degradation is "all the rage", far beyond what can be evidenced at Chess.com.
For individuals who are acclimated to others well enough to present such a trophy, on a lighter note, that is what it is. Otherwise, it seems a disgusting gesture from persons who are too arrogant or spiteful to allow their gameplay to tell the story (and assign a just declaration).
Alike and otherwise, save responding to your thread, I haven't afforded it much mind. I will observe this thread to see other perspectives presented, nonetheless.

The game is it's own reward. Having said that, I am more than happy to send a trophy (as a bonus) for play that deserves it. Good natured ribbing amongst friends is a great way to lighten up the mood around an otherwise deadly serious game. Don't really need to comment on poor sports do I.

Oh come on - you don't have to be friends with someone to give out an "I blundered" trophy.
Case in point: White plays the opening poorly, gets a difficult position, manages to end up castling but must sac a pawn, gets some pressure, regains the pawn, and BOOM hangs his queen.
What is wrong with an "I blundered" trophy there?

I'll give you a duffer's view on beating one's self up for blundering. It can be frustrating when you throw away a piece through bad play. Saying something like "Oh, that was SO stupid" is a natural reaction to frustration. I've never sent a trophy saying "I blundered" but I don't see how that lessens the value of the opponent's win. Lessens its value to whom? I would ask. If you beat someone who hung his queen, does it make the win less valuable that the guy says, "man, that was stupid hanging my queen like that"?

ozzie_c_cobblepot wrote:
What is wrong with an "I blundered" trophy there?
Presenting or confirming that assertion/assumption is cared for in-game. Out of studious curiousity, rather than an assault upon your perspective, how would you feel if someone were to mar your trophy case with one of your most unfortunate blunders (i.e. "You blundered!!!")?
I would think nothing of it, myself. Even so, as you consider the question, do you believe it is reasonable to presume that individuals may not positively regard receiving such a side note? What some may avail as a cowardly excuse for failure others may utilize to degrade (denigrate, in the least) the success of another.
Be mindful, this site does welcome children who play chess. I have dignity and don't need respect from individuals I encounter via online endeavors. However, not all of us adults and/or the children in our midst are fit for much other than the play of Chess itself (if even that) herein.
The aforementioned style of trophies presents an extra challenge which I wouldn't subject someone else to. The choice is individual and my inquiry is a matter of intrigue (toward better grasping your perspective).
I'm not sure I get the idea of trophies for anything other than tournament winning anyway but have gotten and given some for well played games. But why would anyone give an opponent a trophy that says "I blundered" or "I was drunk"? All that does is lessen the value of the opponents win (assuming the opponent won). This seems insulting to me. Are people giving themselves these trophies to tell themselves to play more carefully or avoid CUI (Chess Under the Influence)?