Telephoto Conversion Lenses on Compact Digitals...2X Tele?

A few members of my family use Olympus C5050 cameras. This question

relates to any compact digital.

 

My wife is disabled and "hikes" in a four wheel electric scooter. She

can not get in close so needs more telephoto. "Digital Telephoto"

function is not satisfactory.

 

Through e-Bay I bought her a 2X Tele conversion lens with attaching

tube. It is a generic unit called Digital Optics. It is very well

made and has a sharp lens. However, it appears to produce more of a

1.5X than a 2X with the Olympus camera. I also bought one for me,

but it came as a Vision Optics unit. It is identical. Without the

lens, the adapter tube will handle 52mm filters and acts as a small

sun shade.

 

I am now looking into a Kenko 3X lens for her to get her closer to

the wildlife and plants she enjoys.

 

I am mystified that a 2X lens seems to produce only a 1.5 image

increase. What about the Kenko unit at 3X?

 

I am attaching a normal 105mm photo here and the 2X verson below.

These are fairly close images and seem to be nearer to the 2X than

infinity images...it's a mystery to me?

 

Any thoughts?<div></div>

With 2X.<div></div>

I measured the rose, top to bottom, on the screen and it is no more than 1.5X.

How about diagonal? I did a simple calculation and the mul. factor came out to be 1.73.