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I would think it would be a manufacturer call out because it's unlikely anyone else would want to take the risk and charge for that. There's a very good chance that soldering the wire to the connector and putting some tape on it would cure it forever.
Bear in mind that any significant arcing should trip the breaker and most electricians are pulling lamp connectors out of ceilings that look worse than that. So you should be covered for a diy fix.
Thanks for the reply.
There's only one wire for that connector which is good and the blue one below was only blackened and nothing charred.
Whilst inspecting again I've found another burnt connector for a different part of the oven.
The oven is a Samsung single fan one so not too expensive I wouldn't have thought.
Any idea roughly how much the repair would cost with call out? I'm in Brighton so prices are probably not a million miles off London.