Generally speaking, you have to slot 5 pt with your 62 if you are trying for a gammon. Example would be a Crawford game at a score of 2-away, 1-away (or 6 to 5 in a 7-point match).
If we think outside the box, of course you can slot 5-3 too with the same idea in the same situation, but let's think what are you giving up for it in exchange: if you played 83,63 you would have made an early home point, which is crucial for the gammon wins (this is why at the same score, initial 64 would be still better to make your 2-point). and if on the next roll the hitting exchange takes place, you are much better off in such a battle with an extra home point. Its not only the extra dancing numbers, but the restricted options of your opponent with the dice that contains any 6 and now any 3. This is quite important.
At the same time, you have nothing to give up for the 62 slot. you would never establish anything substantial with this roll so the risk-reward ratio is much better for 62 than it is for 53. I have been experimenting a lot with this scenario and slotted the vital points and fwiw, I came to conclusion that in points-slotting the point is not of a paramount importance but unstacking the checkers is. I remember the days when computers "despised" the slotting with the opening 21. Now its a standard play. I am also inclined to slot the 41, when computers advise against it, but for me unstacking is the priority, and this is another factor what is to consider when slotting 53. You could have had a home point, and unstacked 6 point. with slotting, you have lost both of these advantages. Needless to say, with 62 you didn't have any opportunity to unstack any points, so no much extra loss there.