You may know many people in that situation, but they must be in a minority of those seeking annulments who have that difficulty, since the number of those seeking annulments and get them is very high, at least in America.
When the new Code of Canon law came out, there were significant changes as to the grounds for a decree of nullity, as they included issues of psychology, among other issues, which had never been considered before.
At the same time, the Code changed after No Fault divorce became the law (starting in 1969 in California).
As a result, there was a backlog of cases of divorce, and the result was what appeared to be a high number of decrees of nullity over a period of time. It is assumed that the level of decrees is very high; however I have only been able to find one study investigating decrees of nullity as measured against divorce decrees, and that is by CARA - Center for Applied Research in the Apostolate.
According to CARA research, noted every five years, in 1985 there were 60,691 decrees of nullity; in 1990 the peak number of 72,308, and then descending each 5 year report with 57,018 in 1995, to 26,025 in 2010 and 25,088 in 2011 (the last year noted).
However, CARA asked other questions. The report of the other questions showed that about 7% of all divorced Catholics had received a decree of nullity, and about 8% had at least started the process, and either withdrew or failed to follow through with seeking the decree, or the tribunal determined that there was not enough evidence to grant one.
Which leaves 85% of divorced Catholics never having sought a decree.
There have been many who have said there are way too many decrees of nullity; but that statement is made based on their perception of only the raw numbers of decrees granted.
Taken out of context, the numbers seem huge; put into context, it appears that we have a very large number of Catholics who have not addressed the core issue of their first (and often only) marriage.
The US accounts for 49% of all decrees; Poland is second at 6.4%; Brazil at 5.6% and Italy at 5.1%. However, there are a multitude of issues at play in those differences, starting with different laws of divorce.
So as to your comment, a little less than half of those who seek a decree of nullity receive it, and coupled with that are a whole list of other issues, including the massive failure of catechesis starting in the early 70’s, the secularization of society and its impact on Catholics, and the “falling away” if you will, from Church practices (e.g. attending Mass on a regular basis).