The law, at least in the US, says you can service at home. I read the warranty as well. It doesn’t say you can’t service at home.
I agree it does not say you cannot service at home. From the owner's manual.... "We recommend the service interval is reset by a competent person with the specialist knowledge and technical understanding of motorcycles, such as an authorised Triumph dealer." The issue here is what Triumph, or any manufacturer, would accept as "specialist knowledge and technical understanding". An independent dealer/garage with trained mechanics maybe but xx years of owning and riding bikes and DIY servicing, almost certainly not, at least here in the UK.
I contacted Triumph UK some time ago regarding this issue about home servicing and warranty work. I received a very quick reply, what Triumph stated was if the servicing is completed at home then the warranty will be invalidated, Triumph were aware I am a qualified mechanic, albeit in a previous life so to speak, however it made no difference, do it yourself and the warranty is void, they advised servicing can be carried out by any independent garage providing the parts used are OEM items, and the service book stamped and the receipt kept. I only asked for clarification for UK owners, however I would say the same would be true elsewhere, it would be a brave person who took the risk, as Triumph have excellent legal advocates should anyone risk taking the matter to Court in a case of invalidated warranty, a person would need deep pockets.
Probably end up costing you more than just buying a new bike. So, what is a "qualified mechanic" these days? In a manufacturer's eyes just someone who's had the relevant familiarisation training with their model range, plus access to the special tools and technical info required to complete everything from basic servicing to engine rebuilds. IMO, today's machines are no more mechanically complex than they were back in the 70's/80's. It's the bespoke electronics that are the death knoll on DIY servicing. Any reasonably competent DIY "mechanic" who can read a workshop manual can strip and rebuild an engine.
Interesting, and as I had previously thought however, I feel their point focuses more on the establishment than on the quality of the mechanic. I had a similar conversation with Skoda. Vat registration seems to be the key that the companies can't get around, an " independent garage" is allowed as the manufacturers officially can't monopolise the servicing. The actual skills, or lack of, of the hands on person doesn't really come into it in my opinion unfortunately.