This is your opinion and I disagree.The DR is dealing with an illegal immigration issue.
If the DR granted asylum to what you suggest are refugees, that would be different. They are not refugees and there is no such asylum.
At least some people realize Dominicans are not interested in fixing the problem, as Nadie21 points out, that is because there is no fix that anyone can make, let alone the DR. It is pointless to suggest otherwise.
At this point it is a refugee problem.
Given the current situation in the country are you saying that Haitians arriving at the boarder now could not be classified as having fled "war, violence, conflict or persecution" ❓
Are you suggesting that the Dominican Republic as governmental policy should not classify any Haitians as refugees?