Here's one - very good way in which having GB Olympics team in the Olympics would impact on the Scottish National team.
For the London 2012 Olympics it was a fairly easy option as the host nations automatically qualify by right and due to money and the need for a host nation competing to make a success of the competition I believe the SFA, FAW and IFA were basically told by FIFA, you can protest and not take part if you want but don't try to stop it.
For any other Olympics not held in the UK it becomes a lot more problematic and this is where it starts to become a threat.
For the men's tournament - because it is an underage tournament - the qualification route is via the UEFA under 21 tournament whose finals are in the year before the Olympics - so for the 2016 Olympics, these were the 2015 U21 championships played in the Czech Republic with the qualification games being played in 2013 and 2014. The top four teams in the finals qualify for the Olympics. Of the home nations, England qualified for the finals but were knocked out in the group stages. Had they got through to the semi finals, they wouldn't have been able to qualify for the Olympics - as England do not compete in the Olympics - and so would another team would take their place.
For the Women's Olympic tournament - as this is a full age tournament - then the qualification for UEFA teams is the Women's World Cup which took place in 2015, where the three top place UEFA nations qualify for the Olympics. England finished third in the tournament and were the top UEFA nation but they couldn't qualify for the Olympics as again, England are not IOC members. UEFA had a mini tournament to decide who took the extra UEFA slot.
So there's the problem in a nutshell - outwith the exceptional circumstance of a home nation qualifying automatically - there is no method for GB to qualify for the finals. If the Olympic tournaments were so important then that would mean that all four home nations would have to scrap their Mens U21 setup - which probably means scrapping the whole youth system - and their entire Women's set up and compete as Team GB at all levels. That would inevitably and very quickly lead to all associations merging.
The other "fudge" that often gets mentioned is "well, if one of the home nations qualifies then let them represent Team GB", there is something in that except it means that the UK has four chances to qualify for the Olympics where *every other* nation taking part only has one and in no way can that be considered fair. Of course the media will gloss over that as "It's only England who are capable of qualifying", however going back to 1992, the Scotland U21 team finished fourth and so under normal circumstances would have qualified for the 1992 Barcelona Olympics.
Any attempts to resurrect Team GB in football should be resisted by anyone who cares about Scottish Football should be resisted at all costs.
I've actually a huge degree of sympathy for any of the Womens players as the Olympic Tournament is probably on a par with the World Cup in terms of its importance in the game, so I have no real ill will towards Kim Little and Ifeoma Dieke for taking part. For the men its a different story.