I usually do not judge anything based only on western or Vedic. Before coming to a final conclusion I compare both systems.
Here, in this case, a 3-4min variation of birth time makes a difference in 1° degree of the ascendant & Xth house, so when you compare both the charts you get the difference in progressions also apply transits based on the same difference.
Let's take a small example
Mr. A, Asc is 10 degrees, Xth house is also 10 degrees, (For example, Progressive 10th house (10°) approaching trine to natal Sun(11°) )
Mr. B Asc is 11 degrees, Xth house is 11 degrees, (For example, Progressive 10th house (11°) cuspal trine to natal Sun(11°) )
If you combine with transits, there will be differences in predictions, Because Mr B is having perfect progressions at cusp level and favourable transits, So he enjoys the situations. Mr. A, gets perfect progressions at cusp level after a year, during the time if transits are not favourable he may near to the opportunity, but he will not en-cash it Until transits are favourable.
Coming to Vedic there is a concept of moving Lagna.
In Vedic if we want to analyze about immediate younger sibling from a native's chart we should consider 3rd house from the ASC, for immediate elder sibling we should consider 11th house from the ASC.
For example, Mr. A is the elder one, Mr. B is the younger one.
Mr. A is born at Aries ascendant, Mr B is also technically an arise asc (twins),
let’s assume the case elder (Mr. A) is aries asc, we should check how Dasha lords and transit are favourable. Now, to check for the younger one (Mr. B), move Lagna to Gemini asc, check the Dasha lords, and transit being favourable to compare. You will see the variations in the predictions.
But to predict in a minute level (getting exact predictions), first, rectify the birth time, check the divisional charts, D-60, D-150, or KP cusps houses or bhava analysis. Practising on many charts enhances the accuracy of the prediction.