That is a really good point - noone is going to want to track that many wallets.
In future, someone may build a highbrid wallet that incorporates the vast majority of altcoins. I would get behind that. Until then, it may be safest to use the DEX as your 'wallet'.
I'll second that! You and me both will be the hybrid wallet's first customers. In fact, if I knew developers with the right skills, I'd consider collaborating on that myself.
DEX? You mean the exchange?
Yeah - the DEX is a decentralised exchange, so arguably the safest exchange to keep a long list of altcoins if wallets are too much hassle.