Well, reinstating him before the season is over would probably go a long way towards the Saints getting back the 2nd round draft pick in the coming draft.

Explain the correlation please?

There might not be any correlation, but the way I looked at it was that SP got the harsh penalty mainly because he reportedly lied to Goodell and tried to cover up the whole "thing" that was going on with the team.

That is also the main reason why the franchise was punished so harshly, because they allowed the "thing" to happen and not enough was done to stop what was allegedly going on.

So, if RG would reinstate SP, it would in effect mean that he wasn't lying or covering up or perhaps there actually was nothing to lie about or cover up in the first place. If this is the reason why SP would be reinstated, it would only follow that if there's lack of evidence of any cover up - there can't be any real evidence against the franchise as a whole, and therefore it should follow that all punishments against the franchise should be dropped as well.

I know it's a stretch, but one can always hope!