Consider the combustion of glucose:
C6H12O6 + O2 --> 6CO2 + 6H2O + Heat
This reaction is exothermic because energy is a product. The fact a match was lit to start the reaction, or even if the reaction proceeded spontaneously as in spontaneous combustion, is completely irrelevant to the combustion reaction proper, represented by the equation above. The match-lighting reaction is a separate reaction, apart from the glucose reaction.
Undoubtedly the sun is exothermic? But how did it come to be? - unimaginable amounts of energy (much more than a match) must have been invested to start the sun, nonetheless, according to our definition of an exothermic reaction, the sun is indeed exothermic because it produces energy at the present moment, regardless of what the sun was or will be.
When we are talking about combustion, we are thinking of it in its immediate tense, that is, already proceeding and producing energy. How combustion started is a different matter.