If it's not intentionally meant to be a homage to SP it will likely come across as awkwardly executed to an audience that recognizes the "reference" material. But, that's to be seen, since an audience has yet to view it. I don't know the content of your skits, but if it's crude SP-like humour, then shouts of you guys ripping SP off, or copying it, are very likely and it will harm the overall quality and opinion of the final product. It's not always obvious when something's been influenced by something else, but it's always obvious when something was downright copied from something else.
If you're legally fine, I'd be more worried about what you think of it. If it feels like a rip-off or doesn't encapsulate the feel you want for the skit and assuming you have the power to say so, you have every right to just say "No, this isn't working," and tell them to record it in a different manner.
If you don't have that power, see if you can come to an agreement on how it should be re-recorded.
If they just flat out shut you down and don't even attempt to settle things in a mature and respectful manner, either bite your tongue and just cringe through the rest of the process, or just drop off the project and take your contributions with you.
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