In 2015/16, Tottenham finished 3rd and Leicester won the title. That cued the "3rd in a two horse race" and "bottle jobs" tropes, saying that we'd "bottled the title".
Compare that to what you've put:
- Spurs won 10, drew 5, and lost 4 of the final 17 games; in fact, with one to play, it was won 11, drew 5, lost 3. That's 38 points from 17 games (11 more than Leicester)
- At no point were Spurs top of the league. At game 20, spurs were 4th and Arsenal top. By game 28, spurs were 2nd and Leicester top. Leicester were clear and away leading, and spurs were only 2nd by virtue of Arsenal's collapse
So, it's a complete paradox to define 'bottling' by "failure to take something that was never held" over "(potentially) falling out of the top 4 where you've been all season".
So I don't think it's inaccurate - I'd say it's spot on, by the above measure.