If you compare to Monero, you see that Monero isn't even allowed on these exchanges. So, it seems that you can't really have privacy combined with high exchange liquidity.
Monero is on Kraken US. Coinbase and Gemini, acting as companies choosing to add the coin they're mutually invested in Zcash instead of Monero, is a dumb indicator to use of what's "allowed," especially when there are obvious compliant examples in the US (Kraken, DV Chain, etc).
Not answering to the question, just correcting your last phrase:
Uniswap has wrapped monero (WXMR) which is not quite the same as Monero, and with a ridiculous liquidity of ~200k$ currently (https://geckoterminal.com/eth/pools/0x14c10b4bdccd9d3f8940fb...)
From what I've understood, coins are wrapped to enable cross-chain movements. Let's say you have X BTC, but you want to take advantage of ERC-20 features. You can "move" your BTC to Ethereum blockchain by depositing your X BTC in Wrapped BTC (WBTC) smart contract. It'll lock your BTC, and give you the equivalent amount of WBTC tokens, which are ERC20 tokens on the Ethereum chain.
Wrapped tokens enable use across otherwise incompatible blockchains.
Wrapped tokens are facilitated through a bridge. The bridge contract(s) lock the tokens on one blockchain, and re-issue wrapped tokens on a second blockchain. At a 1:1 peg.
That way the wrapped tokens can be used in Defi or Dapps on the second blockchain, and later (if desired) sent back through the bridge to be “unwrapped” into their original form, on the original blockchain.
Just note that for now, most of those bridges are custodian. AFAIK at the moment the only trustless one is RenBTC. The more popular WBTC and others are essentially just some trusted entity issuing IOUs when you give them your BTC.
