The feature applies to every type of jump.
The Bestial Soul feature allows to add the result of the STR check to a jump, it does not make any distinction between long, high, or standing jump: therefore, this bonus can be added to any kind of jumping movement.
For comparison, have a look at the Totem Spirit feature of the Path of the Totem Warrior:
Tiger
While raging, you can add 10 feet to your long jump distance and 3 feet to your high jump distance. The spirit of the tiger empowers your leaps.
This feature explicitly states that different jumps get different bonus.
Another game feature that specifies to which kind of jump you may apply a bonus is the Second-Story Work from Thief subclass:
Second-Story Work
[...]
In addition, when you make a running jump, the distance you cover increases by a number of feet equal to your Dexterity modifier.
This is very similar to the the Remarkable Athlete from the Champion subclass for figthersfighters, the latter using Strength mod instedinstead of Dexterity one.