still have to cut and connect using the black tape unless you are buying the original/stock cd player.

no worries actually because its quite safe to do that. I did my HU installation myself using the black tape after cutting off the wires.

the only reason i could think of why your wires burnt because of shoddy workmanship by the accessory shop. dun go there again.

the connector only connects to the HU.....

but what connect to the connector.....its the wires lah......so this one is manual fixing.....one wire connect to the other one on the connector.....then the connector head goes into your new HU

so to your question....yes and no.

yes....different brand different connector
no......no need to to worry as whatever connector it is, manual wire connection is still needed