If this does help relieve the discomfort, you may have a long head of the biceps tendinopathy. What this modification does is prevent this tendon from compressing into the humerus bone and becoming irritated.
Keep in mind, however, that there may be other issues you need to address. That's because this tendinopathy is often seen in conjunction with other shoulder disorders. For example, it may be seen alongside 80% of
rotator cuff tears (1,2,3), impingement, labrum tears, bursitis, AC joint disorders, shoulder instability (4,5) and glenohumeral internal rotation deficit (GIRD) (6). In these cases, the tendon issue is really a side effect of another problem. So you must establish what that is.
I highly recommend taking a video of yourself and seeing what your chaturanga looks like. Do at least 5 rounds and even more of not too painful. This is useful as it will show how your alignment is as the muscles fatigue. The first round may look fine, but by the 5th, you can start to see that your alignment has been lost, indicating poor endurance.
Look out for movment in the spine and pelvis, which can indicate poor core stability. The spine and pelvis should move as one connected unit. If not, this can put more pressure on the shoulders and lead to irritation. Check out the video below for a visual explanation of what I mean.