Walmart & Amazon Sellers

Hi all, we sell a subset of our Amazon products on Walmart. The sales are v. low in comparison, and I’m careful on the pricing side given what happened when Amazon was talking down the buybox if they found a lower price on another platform, especially on Walmart’s. Now Walmart is urging us to use their ‘price match’ tool and I’m wary it will affect the Amazon algorithm, and ultimately my ranking on AZ if I use it. I noticed a key competitor that sells on both platforms has their WM prices $1 or $2 higher than on Amazon, even shipping through W+. Do others have any issues with Amazon ranking when they use Walmart’s price match tool? We had it running for awhile, then took it off higher volume AZ items to avoid issues. I did notice a big drop in WM sales when we took it off those items (even though it was only a $1 difference), so the pricing match tool appears to give WM rankings a boost. Thoughts on this?