Even though it decided an election i don't see why many would want to use Bush v. Gore as one of the 4 seeing as it isn't being used as precedent and nobody knows if Gore would have won the recount
If the recount had been allowed to continue, it wouldn't have cast a pall over the whole process. I think there's a credible argument to be made that Bush v. Gore, while not being used as precedent, helped to contribute materially to cynicism over our election processes.
But the same could have been said had the decision been flipped and gore won after endless recounts
In the sense that at least one recount would have increased the fidelity of the results, no you couldn't.
Maybe if Gore had asked for a statewide recount instead of selective recounts in counties where he thought it would help him, it would increased the perceived fidelity of the results. Both sides contributed to electoral cynicism in 2000.
The SCOTUS was free to order a statewide recount, if it saw fit. The SC's rulings have never been constrained by what the parts were pleading for.