Off the shelf, the main difference between standard Elwoods (Jazz) and Jakes (Precision) and their Fender counterparts, would be nut width. Both come (normally) with 40mm widths - wider than a Jazz, narrower than a Precision. However, as @Woodinblack points out, most things are possible with a Maruszczyk, including neck profile. My Jake and 2 Elwood Ls are chambered, lightweight instruments. The Elwoods are 33” scale, have 41mm nut widths and Delano pickups. Not standard Fender features (for the record, I have owned numerous Fender Ps and Js in the past).
Should you take the plunge? It depends on your requirements, which might include resale value, where Fender will always be better bang for buck.