For me, the answer is "Yes". Indeed, if ur media is highly contaminated with a microorganism, surely after autoclave, you will have significant changes in the media composition,
It depends what kind of medium you are working with. If you are working with minimal medium (since you are working with enrichment cultures, i suppose) the growing microbes may be autotrophic. When you autoclave it, the microbes will die but their cellular contents (in different forms) will be added up into the medium and if you use it as basal medium, definitely its very very different from your initial minimal medium.
If you read old literatures, microbiologists used this kind of medium (they used to call it spent medium) to reduce carbon load of the medium for isolation of autochthonous microflora.
If this is no so, and you are talking about rich medium, there also things will be different. Another factor is pH change, which will happen.
In either of these cases, if you want to make sure what is your nutritional content, you may proceed for ash analysis, after bulk preparation.
it will change the property of medium but not as much as you think. generally moisture content is the main reason for media contamination. your medium must be as moisture free as possible. if media contain moisture, please do not use it.
otherwise you can use normal media without hesitation because there is no way to use media in completely sterile condition.