The problem here is that you never know what "they" are going to ask for. Sometimes, even documents they don't ask for become important mid-process. For Canadians living here, being asked for an RCMP Check is a real pain in the butt. It is theoretically possible to have finger prints taken at PN HQ in SD and then sent to Canada, digitized and a record check application submitted and the resulting document sent to you here in the DR.
This is a costly and time intensive process. The prints taken here and submitted need to be almost perfect to be accepted. Getting anything almost perfect here is a gamble right down to convincing the fingerprint guy to fill out their personal info on the required forms you need from Canada. In many processes both immigration related and others, the phrase, "we are waiting for an Interpol check to come back" is heard. At least for Canadians, Canadian Interpol does not respond to these requests from the DR and never has. Being able to pull a valid record check out of your pocket can save many months of waiting and can be the difference between a process being completed or stalled indefinitely.
If you are in Canada and planning to enter a DR Govt. process here in the near future, spend the $75. I know that for immigration the document is supposed to be apostilled and translated. I have had success with other Ministerios with an original document that wasn't apositlled or translated.
In Canada, it takes about a week from the time you submit to the time you received the record check. To do that from here you are looking at much more time, inconvenience and expense.
Each record check is valid for use here for one year from the date it was issued...generally.