These very positions can be drawn or lost, not only by you, but by top players, if the player in question does not see that one path to victory. Let’s try a different approach: if the position is simple and technical, and your opponent has an obvious way to a win without any possible blunders, you may resign.
Why do you resign the game if you lose your queen?
Losing the queen usually means a massive loss of material. This is in most cases an irrecoverable situation. Resigning when heavily down in material is in fact a good sign of sportsmanship spirit, an acceptance that the opponent has the requisite knowledge of applying the finishing touches.
Is it good sportsmanship to resign during a game?
It is good sportsmanship and your opponent would be very happy. On the other hand, you do not have to do that and are permitted to keep playing without dishonor. Indeed I saw an expert toss a queen against a lower rated player and did not resign. In the end, after a long endgame he managed to win.
Can a expert toss a queen and not resign?
Indeed I saw an expert toss a queen against a lower rated player and did not resign. In the end, after a long endgame he managed to win. He kept improving his position and won some material along the way and was helped by less than good moves by his opponent. And it depends on the situation too.
Is it rude to play on after a blunder?
Among masters, if someone blunders even a piece, they know that their master opponent will have no problem converting, so to play on could be considered rude and a waste of time. That said, they have the right to, and if they do, you don’t really complain about it.
Is there anything unsportsmanlike about wanting to finish a game?
There is nothing unsportsmanlike about wanting to finish a game you start. There are plenty of people who feel like they need to finish. So the summary answer to your question is that it is neither definitely sportsmanlike nor definitely unsportsmanlike.