Your recording was beautifully performed, and your 'ukulele is a wonderful complement to your talent. Your technique imparts a rare warmth to the Koaloha's wide voicing.
The two are definitely different instruments. As a general rule, Kanile'a 'ukuleles exhibit a warm, focused timbre. Some of them are bright and focused (occasionally to the point of harshness) when new, but this edge tends to mellow significantly as the uke opens up. Some Kanile'a ukuleles get a bit dark when played forte, and most demand a delicate touch (and sometimes an appropriate string choice) from the player who would elicit a broad dynamic range.
In contrast, the Koaloha timbre is open and typically bright. Most exhibit lively dynamics, but a few are wide and wolfish to the point of being unfocused (this can be desirable if you're looking for "bark"). Their dynamic responsive and quick attack make them gratifying to play, and the wide voicing gives the player a broad tonal palette; however, they generally don't mellow out much.
I don't know how long you've had your Kanile'a, but if I were you, and if I could swing it, I'd keep both. Kanile'a ukes can take a long time to open up, but few ukes are as seductive as a really played-in Kanile'a. As they open up, they gain dynamic range, and the warmth and focus give way to a reedy darkness that still retains the chime loved by so many.