Thanks for the summation of things, in particular it's good to get updates on where we stand on some of the lesser discussed sports that we are unlikely to challenge for medals in.
If I was to try to call it three months out I'd say we're looking at five to six medals at present. I will accept that I'm factoring in an element of "things always seem to go wrong for us at the Olympics" into that.
But right now I'd call us for one boxing medal (possibly two), one rowing medal (I'm definitely a bit spooked by recent form), one swimming medal and one athletics medal. As well as one other medal across everything else from golf to rugby to equestrian to gymnastics - I think those sports are too much "on the day" sports to predict more than one medal across them all.
I'm going to be brave and go for two golds within that, although to be honest I'm not sure where exactly the second gold is coming from! More a case that if you throw enough darts at the board one of them will hopefully hit the bullseye.
In terms of your comparison to other countries I think we can be a bit selective in terms of who we compare ourselves to. For instance there isn't an Olympics that passes that I don't see us being compared unfavourably to New Zealand and Denmark multiple times. But, similar to Ogreman, I've done a little bit of not especially scientific analysis of where we're stand in recent games compared to developed countries of similar population to our own. So I've taken the average number of medals won by ourselves and the 20 developed countries nearest to us in terms of population (10 more populous, 10 less populous, ordered by population) across the last three games. I accept that, as a starting point, our own population is open to a degree of interpretation given the partial inclusion of Northern Ireland within our Olympic team, but let's just go with it for now...
Country/Avg medals per Olympics 2012-2020
Austria 2.67
Switzerland 8
Hong Kong 2.33
Serbia 7
Bulgaria 4
Denmark 11.67
Singapore 1
Finland 2
Norway 5.33
Slovakia 4
Ireland 4
New Zealand 17
Costa Rica 0
Oman 0
Kuwait 1.33
Croatia 8
Georgia 7
Uruguay 0
Bosnia 0
Puerto Rico 1.33
Armenia 3.33
I guess what this shows is is that, despite the significant misfire in Rio, we're pretty much right in the middle for a develop country of our population, or maybe slightly above. Of the 10 more populous countries four have averaged higher than us, four lower and two the same. Of the 10 less populous countries three have averaged higher than us and seven lower. The average number of medals across all of the countries listed is 4.2.
Possibly the most notable thing of all is that, much as we often compare ourselves unfavourably to Denmark and New Zealand, and correctly so, it is very much them that are the outliers and not us. Not that we shouldn't aspire to those numbers, but realistically given the added sporting competition we face compared to most countries due to Gaelic football, hurling and 15s rugby, it's probably unrealistic to ever expect to challenge them on the medals table on any kind of consistent basis.
One other statistical note I'd just add is that if we do win five medals this summer we'll have won 20 medals across the last five Olympics from 2008 to 2024. That would equal the total number we won in all 18 previous games combined from 1924 to 2004 inclusive. And that's even with the (very generous) inclusion of the four 1996 medals in the 1924 to 2004 total. So we're definitely making significant progress.