Hi Fearn

,
I have seen the image for the Tyler's sword, after 'googling' "tyler's sword" in Google images ....the majority though were straight bladed

I think you'll agree though that the quality of the blade on this tyler's sword seems poorer quality than on the 'thread starting' sword. In fact it looks as if it once was straight bladed and then the waves ground out.
The sword could indeed be a Tyler's Sword ...... or a Victorian "wallhanger".... or perhaps something more interesting. I myself, am undecided .... but , I do not close my mind to the possibilities...any 'sensible deductions' that cannot be definately dis-proved are 'potentially' true.
Sorry Fearn, when looking at your example of the 'pineapple' finial .... all I see is ... artichoke
Kind Regards David