Yes, I do think it’s hyperbole. Paul saw himself as having been exceedingly sinful, to be sure, and he was right. However, I don’t get the impression that he intends this as a precise statement.
There are several things here to consider, and overall I think you could take this as a supportive universalistic statement (Jesus certainly compelled Paul, and if He did that, and is no respecter of persons, it could be taken to follow that He will likewise eventually compel anyone and everyone else who needs it (probably all of us).
However I wouldn’t bring this up as a primary argument for universalism. There are so many other statements in scripture that support universal reconciliation that we don’t need to resort to more oblique references imo, except as a matter of interest to those of us who like to delve into the details.
The argument against this writing being universalistic would be obvious; that Paul (though compelled) had turned to Christ and was therefore eligible for salvation while others have NOT turned to Him, and that while they COULD be saved, they will not be saved until/unless they also turn to Christ. It’s a great find, btw. I hadn’t ever seen it this way, and you’re right. It does support UR – though rather at a distance (imo), still compelling.
Blessings
Cindy