Seeing a balance of ⚡ 502 000 implies that all the funds are spendable on Lightning
I think that won't matter in the long run.1 A lot of words we use don't really make sense but words change their meaning all the time.
Most people won't even know about lightning. They'll just use the symbol without thinking about it. And if anyone asks why we use a lightning bolt as the currency symbol, we'll just respond with: "For historical reasons."

Footnotes

  1. I don't even think it implies that. It's already just a symbol for sats for me.
That might happen in the future, yes, but today that's still a source of confusion for users of wallets that have on-chain and Lightning.
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