I don't think he was comparing the build quality of the Axis compared to the OLP (in which case, you are right and there is no denying it!...

), I just think he likes a thicker neck as provided on an OLP.
Personally, I owned an OLP and for the $$$, was a decent garbage guitar for me to take out on the road and leave my more expensive JP's at home. However, when played against an Axis, I personally like the Axis.
As for the feel......that would be personal preference. If you like a thicker neck like the one on the OLP...play it. But, you will certainly sacrifice in all other areas of guitar specs like tone, versatility, set up and everything else imaginable.
I also see you want to buy an Axis SS.....that is a good thing. I think you will get used to the neck and be a much happier person in the end. OLP's are not in the same game as an EBMM in which point JimiD is 100% accurate. Just my 2 pennies.