You have positive indication of ground track based on needle
position, direction of movement, and rate of movement.

Maybe, if the PT fix is based on navaid. but the information you
receive is imprecise and will vary with the distance from the navaid.
If the fix is an intersection, you don't have even that. A centered
needle is much easier to read.

Plus, you still run this risk with the procedure you've described,
when you go out and do the 45-180 PT.

You're only going outbound for a minute, in the fattest part of the
protected area. And the issue of a late turn over the holding fix is
missing.

I'll bet you five bucks the difference is minimal.

Well, no ****. The safety-conscious choices we make every day don't
matter most of the time. We put up with a bit of inconvenience to
give us an extra margin of safety for the extreme situations.