the ibanez has to be ordered from indonesia?
where is it made?
the ltd is made in indonesia right?

as for HH or HSH pickup, the middle S pickup always gets in the way for metal.
A LOT of players actually drop the middle pickup height to the lowest possible so it doesnt interfere.
even ritchie blackmore's strat has a dummy middle coil for that reason.

as for 3 piece vs 1 piece necks.
well, there are cases of 3 piece necks warping over time, as the individual pieces somehow shrink or expand differently.
and i've seen quite a few high end ibanez rg's from the late 80s with warped necks.

anyway, the RG370 is the only lefty at your budget?
else i would take the RG320 instead with HH, then you can split them to get single coil sounds.

that yamaha seems more decent.
cept it doesnt have a double locking trem, but it does have an alder body and 3 a side headstock.

main point is the ibanez has double locking trem.
for a beginner, you're gonna get very irritated at it.