the TBRF borrelia group are quite separate to the borrelia burgdorferi group (which includes all the European strains and Asian strains etc that cause lyme disease )
some of the TBRF group - like Borrelia hermsii is transmitted by different ticks - ie soft bodied ticks - where as other like Miyamotoi are transmitted by the same ticks as lyme disease causing borrelia
in fact - if you look at the current Wikipedia page for known borrelia species there are, by some classifications, around 10 species of TBRF - and then around double that of Lyme disease causing bacteria
https://tinyurl.com/2asdtxmzthen there are currently another 30 or so candidate species that are currently not placed in either main group
as far as i can work out the symptoms of TBRF are, like Lyme disease rather variable, and have quite a bit of overlap - especially once chronic - and its known that some people with TBRF never experience fevers at all - so in any one person it could look exactly like lyme disease.
the paper i mentioned earlier was therefore notable as it was picking out that symptom of excessive sleepiness as one that popped up quite often in the TBRF group and so could potentially be useful to tell them apart - it was not in all of the people with TBRF - and i don't recall the exact figures so don't quote me - but as an example maybe it was in something like 30% of people with TBRF group - but only a few % of the lyme and other diseases group
so definitely not a 1 to 1 relationship - but occurring more often in TBRF
i seem to recall the official figures for the USA geographic distribution for TBRF is narrower than other forms of lyme
but that may vary by species - some overlap with Lyme geographically and inhabit the same ticks