I don't know if my experience will help or not here jfreak ( I don't own an M240), however here goes!
I bought an M8 in December 2012 when I already had lots of £* spent on a Canon 5D MkIII and good lenses. I immediately liked the RF shooting style, despite wearing glasses, and the resolution and tones that I saw in M8 photos were very satisfying (I only had a CV35/1.4 then).
My reason for buying an M8 was totally influenced by the photos I saw on this thread, thinking back in particular then to Edward Karaa's Thai street shots with Zeiss lenses and Ron Scheffler's varied input (talent helps of course!).
Fast forward 18-24 months: my 5DIII gets used a couple of times a year for major Motorsport events only (I will probably sell the body), I own an A7R as of Feb '14 and I now have an M9 and many lenses, but none in the league of the 35FLE or Summilux 50ASPH.
My A7R is more versatile than the M9 (I have lenses from 20- 300mm) however I enjoy shooting with the M9 more. I also loved the M8. I was concerned about sensor longevity after buying an M9 that needed a sensor replacement (paid by Leica but taking 6 mths), so sold it, then bought another when I realised what I had given up!
Back to your case in point: look through this thread and perhaps like me you will see many images that simply have that Leica magic. I am even thinking myself of saving for a Lux50ASPH after seeing that shot taken by Katie of junior league baseball (?). I have seen 35FLE shots that also impressed (eg airfrogusmc's street shots) and those 28Cron trail-biking shots by uhoh7 had great character. Your M240 will also give you great versatility to shoot Leica R lenses should you wish, albeit in live-view.