Blip
Why not ask ATC if they mind? It will save the controller having to ask "do you know you're flying xxxx right/left of track?"
Doesn't happen these days but some of the early INS equipped traffic off the ocean would sometimes slip the odd mile or so. Some ATC buddies may recount the requests to overfly a beacon as a last nav-fix before the crossing.
In UK certain sectors use a radar monitored traffic separation without imposition of assigned headings.....the specified routes structure [where this is permitted] does require that such traffic follows the published route or is vectored on the "safe" side of the track.
Early considerations of using track offset capabilities of modern a/c took a knock when it was realised that different systems normally use different turn anticipation criteria, it may work on a fairly straight sector but turns are less than safe.......in UK we are aware of the Airbus family turn which is very early indeed and goes nowhere near the beacon.......and so it is not used for separation. A few controllers may use the facility to help set up a sequence or tactical position but using just offset for separation is forbidden, a recognised separation method must be used when appropriate.