- Not all Bitcoin addresses and transactions are equal since we have different address types: addresses starting with “3” are scripts, meaning that they imply multiple keys or implement segregated witness
- Taproot gets rid of the 1/3 address type distinction. As said before, all txs look just like regular transactions from one person to another, no matter how many people participated
just to clarify, schnorr sigs are also needed to remove the distinction between single-sig and multi-sig, as signature aggregation (not possible with ECDSA sigs) reduces all the signatures from separate parties in a Multi-sig address to one (the signatures _are_ calculated separately, but the participants then literally add the signatures together to produce a single signature that validates the transaction)
without schnorr's sig-agg, multi-sig txs would still require the minimum quantity of sigs defined as the threshold minimum in the scriptSig, and more than one signatures necessarily means more than one signer (unless you're using multi-sig as a security measure where you sign with 2+ devices, taproot/schnorr protects that kind of user from revealing their security practices also)
but yes, in essence, the net effect of BIPS 340-342 will remove the distinction between "script hash" addresses (beginning with a "1" character) and "public key hash" addresses (beginning with a "3" character). They will appear identical as addresses encoded on the blockchain, and when multisig is used with the typical scripting opcode sequence (1 input, 2 output, locktime set to current block at signing time). Because Lightning opens and co-operative closes are exactly that kind of transaction, they will also now look identical to these pedestrian tx types too (but not for Lightning uncooperative closes, which require a future locktime)
But atypical scripts will still be just as noticeably different as before, the only difference being that alternate paths (i.e. OP_OR sections within the script) will not be recorded to the blockchain, only the path that is actually used to spend the output from the address is written to chain.