Usually insurance or government plans don't cover laser correction since they feel its an elective since someone can wear glasses/contacts. Unfortunately there aren't many studies on the results of small laser corrections, most are on the sort of large corrections people usually come for when younger.
The results vary with the laser, ideally you'd hunt for the one with the latest. I just watched a short video on Eyetube which you can find by googling:
Robert Maloney, MD Wavefront versus topography-guided LASIK
which reports on the results of the Alcon Contoura system and others: "Sherman W. Reeves, MD, MPH, identifies topography-guided ablation as the next big thing in refractive surgery. The main reason for his selection, he says, is because topography uses 22,000 data points to measure the cornea, including the peripheral cornea. In comparison, at most 1,000 data points from only the central cornea are taken during wavefront. In his talk, Dr. Reeves also reviews results of the FDA clinical trials on the three topography-guided platforms available in the United States."
It doesn't say how close they came to hitting the target, its talking about those targeting 0D, but they only give the acuity results rather than how close they were to the target. These are results for the typical sorts of corrections (not just small tweaks) shown in one chart for the Alcon Contoura:
93% 20/20 or better, 65% 20/16 or better, 34% 20/12.5 or better, 16% 20/10 or better.
Another page indicates:
"Contoura has produced the best results of any laser we have used or any study in which we have participated. The FDA results found nearly 69 percent of patients achieved uncorrected vision of 20/16 or better.1 Additionally, at 12 months, slightly over 31 percent of patients gained one line of uncorrected vision over their previous best corrected vision."
i.e. with 31% their vision after the laser treatment showed better vision without correction than they had with correction beforehand. Another article notes for one laser:
"Table 24 below shows that nearly one-third of the eyes treated for myopia with Topoguided (T-CAT) LASIK (78/247, 31.6%) achieved a distance UCVA of 20/12.5 or better, and over two-thirds of the eyes (170/247; 68.8%) were seeing 20/16 or better without correction at 3 months postoperatively. Furthermore, a total of 92.7% of the Topo-guided (T-CAT) LASIK eyes had a UCVA of 20/20 or better at 3 and 12 months postoperatively, with slight shifts toward continuing improvement in the proportion of these eyes that attained UCVA of 20/16, 20/12.5, and 20/10 through 12 months after Topo-guided (TCAT) LASIK."
I just saw data from the Wavelight system showing that even with large tweaks, 95% were within +-0.5D. That had a little bit of data for small tweaks. For those seeking correction of to 0 with preop spherical equivalents from 0 to -1, 100% hit within +-0.5D (though I think it was only 8 patients seeking that small a tweak), and those from -1.01 to -2.0, 97.3% were within +-0.5D (though also a fairly small number of patients). That was for myopic correction, I don't know if the stats are the same going the other direction, and that was just one study of one laser.