The fretboard looks correct, with the veneer fingerboard... Both of my '78s are about the same. Also be aware if you replace the nut, it is also curved and does not have a flat bottom...
More thoughts on the finish... this era Fender had that super thick clear coating, (almost like they were dipped!!), and this is one of the areas where the finish was pretty vulnerable. Top coats did not adhere very well, and the clear coat did not flex at all with the wood. Temperature changes would wreak havoc with checking and you'd see exactly what you're seeing with this finish. It was more prevalent with black-finished Fenders, as well as the first run of 25th Anniversary Silver Strats... (DO NOT REFIN AN ANNIVERSARY STRAT WITH THIS CHECKING AS THEY ARE RARE )... Didn't happen to ALL of them, (I currently have a black '78 with no finish issues at all), but they're out there.
My first '78 Musicmaster that I had bought new in '79 did the milky-checking thing one morning after the sun shone through the window on it in a cold room... at first, it just looked like little spider webs in the black, after a month, they started to get milky along the lines, then a month or two after that, chunks of top coat start falling off!! I had much more energy back on those days and SANDED it to bare wood... Added some stain, called it good, and it stayed ugly as sin until it was stolen several years later...
I thought your clear-coat was through to the wood in several places when I originally suggested heating and stripping. If that isn't the case, smoothing the clear coat makes it a great base for an easy rattle-can finish. A few years back, I restored
this beat up '78 Musicmaster for a friend (it's now mine) and it had some checking, a weird, melting top coat, and numerous big dings on both body and neck... I went the same route as you, except that I fully stripped the top coat. The clear coat was badly checked, but intact, (except where the divots were)... I filled the voids with several thin layers is super glue, building up to the clear coat thickness, the sanded the whole thing evenly. It took the rattle-can white very nicely and is still looking good today!
As always, when I read back on the linked thread, I wish I had taken more "before" shots, because it truly was in sad shape!! It's gone through a few more mods in the past two months, and is on the bench for the final touches...
I'm kind of envious of your new project, because it looks to be a lot of fun!! Take A LOT OF PICTURES!!
-robert