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Def not what you're asking for, but bassist in my band has one of these for when bringing the double bass is impossible and, plugged in, it's fucking great. Sounds like a double bass (sounds decent unplugged but drowned out by guitars and fiddle) - obviously might smaller/lighter than any electric bass. Just a thought anyway.
https://www.gear4music.com/Guitar-and-Bass/Deluxe-Electro-Ukulele-Bass-by-Gear4music-Sapele/33VV
My daughter is starting to play bass at school. I don't know if she'll latch onto it, but if she does, what's a good bass for a 12 year old? Guess prioritising weight over anything else.
I'm guessing that despite looking awesome, and my trigger finger over a few on eBay, an Epiphone Thunderbird is going to just be too heavy.