This is an old posting, going back to May 2017, and the OP has not bothered to provide any follow-up, and may well have moved on to other things, and may no longer be watching this forum.
Just to follow-up the first reply, yes, the detail of a midi recording, on even the simplest of systems, is massive, and the detail will usually be MUCH more than any normal MUSICAL standard will require. Midi will pick up and store every tiny imperfection in playing technique, and if you show this data as a score it will look quite silly. Nothing like a normal score for the same music would. Quantisation and similar processes will bring the displayed info back towards 'sensible', and this MAY (if you so instruct) change the stored midi data, but this NEED not be the case. As suggested, the piano roll type display may be more helpful.
So, the question of the 'accuracy' of the data raised by OP may well be nothing to do with midi, or with the software (DAW or whatever) used, but merely with the settings of the selected display mode. If you're not happy with what you see, then change the settings, or change the display mode.