Action and stock bedding question (2 stocks/1 action+ bottom metal)

[HeavyAssault]

Here's the details :
1) PH1 Havak SA action/BM in original green stock.
2) PH2 Havak SA stock in Urban Shadow. (bought from owner who removed his Havak action)
3) Action bedding is present in PH2 Urban Shadow. Pretty minor coverage in my mind.

I'm going to mod the PH1 stock for an ARCA, I might get it ceracoated as well. I'm going to run the PH1 action/BM in the PH2 stock.

Is the bedding in the PH2 going to cause any significant issues as it's not original to the PH1 action? I'm pretty sure there's very little if any significant difference in the PH1 and PH2 action or the bottom metal that is used.