I think the main potential issue with this system is that if someone is 3-0 or 3-1 down and time is getting short, for some people there is no real incentive to go for a result. This can be frustrating if you're on top but the other player starts to pull back, or delay to play for the draw, because they get a point for this.
In terms of whether people go to play or go to win, I think it's pretty obvious, though it may not be popular to say, but people go to win.
Otherwise:
why do winners get rewarded by prizes,
why does every organiser publish the results table of where people came in the competition,
why is a lot of the chat between games about how each person is doing, how many they've won or lost or how they've won or lost,
why do themed competitions attract 3/4 of the same army which has the best chance of winning, (Mr Smith excepted of course, but then there's always an exception that proves the rule
)
why does one player appear really fed up when his opponent throws 6 after 6 after 6 after 6?
The answer is, because people are trying to win.
I don't see anything wrong with this. After all, it is a competition!
Different people will be more concerned with winning than others, but the issue is not that people are trying to win it's how people try and win, i.e. what are they prepared to do to win and what do people count as 'unsporting'.
If we accept people are trying to win individual games then presumably they are also trying to win the overall competition. So, is it unsporting to play for a draw if you know you're not going to win, but you get a point for the draw and nothing for the loss?
Some people will think that's ok as it's all perfectly legal and within the rules, others won't as it denies the opponent a win they would otherwise have gained given extra time.
Awarding points for a draw but nothing for a loss and nothing for enemy element kills allows, or maybe even encourages this approach.