Are you meaning Haymarket West/Central then? the ladder opposite Murrayfield and the one where the E&G and Fife lines diverge? Don't think there is the volume of traffic to justify Almond Chord now.
No the problem still exists.
The problem is not undercapacity of Haymarket east junction, instead it is the unbalance between numbers of trains through each of the Haymarket tunnels, and ultimately into each 'half' of the Waverley west end platforms (granted there are more platforms on the south side, platforms 8-14 vs 15-20)
Currently, the north tunnel, through platforms 1&2 at Haymarket carries the Fife trains.
The south tunnel, through platforms 3&4, carries trains to Stirling, Glasgow via Falkirk, Bathgate, Shotts and Carstairs.
This necessitates several trains per hour in each direction crossing over the previously mentioned ladder junction, which eats capacity, and causes conflicts. Most of these are ad-hoc moves rather than being explicitly timetabled, which makes matters worse. Additionally, the three flat junctions along the south set of lines (Haymarket East, Newbridge and Polmont) chews through capacity on this line, as timetabling crossing moves becomes an instant conflict.
The Almond or Dalmeny Chord solves this by rebalancing train numbers through both sets of lines. When I was involved, it was needed because the original EGIP plan was for 6tph Edinburgh to Glasgow shuttle, made of 6 cars.
This negated the need for platform extensions, but ultimately was unworkable with 17tph minimum each way through the south tunnel, and over those flat junctions. That doesn't work with the platform reoccupation time, and minimum headway, of 3.5 minutes through Haymarket.
In the end, this was swapped for 4tph of eight car trains, providing the same capacity, but needing platform extensions. This killed the intimate and immediate need for the Almond Chord, but the idea still lives, basically as a way of evening out capacity and making timetabling easier through Haymarket.
Currently post-covid, the situation is that it's not needed as immediately, as some service rejiggs and cuts have taken place, but it's still on the horizon. Edinburgh isn't really susceptible to the same commuter flows as London is, and the frequencies are usually steady throughout the day.* In the medium term, there is a an aspiration for 3tph each way via Shotts, and 1tph to Alloa in addition to 2tph to Dunblane, as well as the ever present assumption that eventually, 6tph to Glasgow will be needed via Falkirk High.
*Current service levels through Haymarket South tunnels
4tph Edinburgh - Glasgow Queen Street via Falkirk High
2tph Edinburgh - Dunblane
2tph Edinburgh - Glasgow Central via Shotts
4tph Edinburgh - Bathgate - Glasgow Queen St Low Level
1.5tph Edinburgh - Carstairs (to Manchester (TPE), Euston (Avanti) or Glasgow (XC or ScotRail))
0.5tph Edinburgh - Inverness via Stirling
There are also the currently cancelled indefinitely 2tph Edinburgh - Glasgow Queen Street via Cumbernauld