I've done my city & guilds PA1 & PA6 this year which means I can buy commercial chemicals & use a knapsack sprayer to spray commercially.
Does that make me a "knotweed specialist"...lol.
There is definatly a massive overkill industry around knotweed. Glyphosate will kill it like any other weed. Although commercial strength & adjuvant is best & it does take around 3 years to kill all.
Larger plants like in the Op's need may need stem injection which is another course again.
It was a fairly intense 3 day course, but if your fairly handy I'd recommend it for some, to circumnavigate a stupid quote.
Once you've done it, your deemed a proffesional.