Looks fine as is and yes, inductors are inductors regardless of construction, so orientation matters, though yours are probably far enough apart to make it moot since they're air core.
Ty wraps are fine, though prefer to do a bit of component vibration damping as well as system damping via mass loading, especially if they're exposed in/on a speaker.
How and with what do you plan to wire it up? wiring everything to a proper cold weld terminal strip is superior to soldered joints and allows quick/easy testing/parts swapping.
GM
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