@stevebrot - I can't remember what I paid for the lens , it was an EBay buy 4 or 5 years back, either £40 or £70. Other than being manual focus and the zoom slide being a little loose so using the lens at an angle is a problem, I do like it. I did a bit of searching when I bought it and have a PDF of the sales brochure for the lens but can't find it at the moment and there is very little info on the lens. It probably is as you say a rebadge.
Until I got the 55-300 PLM this month, it was my main tele lens though I haven't done a back to back comparison with the PLM - I will have to try that. I did try the PLM with the multiplier but the focus didn't work - so no moon shot with that combo to compare.
An old lens and a £6 multiplier off EBay will have its limits - I am enjoying finding the limits whilst learning how to use the KP.
In terms of good 300mm lenses I have yet to see anything match my daughters Canon EF 300mm f2.8 L IS II USM (best long lens that I have ever used). For about 100th of the price my little Jena doesn't do too badly and I would say if I get the focus right , the wind is blowing in the right direction and you squint a bit, it can live with her CANON EF 100-400MM F/4.5-5.6L IS II USM.