It'll be a problem because some people who BBQ in their gardens do so until late into the evening, create a lot of foul smelling smoke by not knowing what they are doing, drink to excess and ask a lot of chavvy friends round to join in the fun. I have neighbours like that (or did have until I got the council onto them)
And of course the foul smell would have nothing to do with the pooch next door marking his territory in the BBQ pan the night before... 
Thinking about it ~ NO!
More to do with (a) his inability to light a BBQ without resort to large quantities of firelighters and BBQ "Starter" fluid and (b) his cooking of fatty meats and resultant flames as the fat dripped onto the embers being dealt with by wafting at them with a tea-towel and when that failed to work squirting the flames with a water filled indoor plant sprayer. The man was/is a total tosser but has now sold up and moved because "People round here don't know how to enjoy themselves".
His other annoying habits included using a "Boom Box" on his patio at 1am, cutting breeze blocks with an angle grinder at midnight, "mending" his collection of vans and cars at midnight and again at 5am with the car/van radio blaring and having two obnoxious children who whined day and night.
His failure to respond to verbal pleas to "Turn it down a bit mate" and "Don't you think the garage might be a better place to mend that?" ~ followed by written requests to "live and let live in peace" resulted in a number of visits from the Council "Public Protection Unit" and the Local Plod until he finally got the message. The cheer from the neighbours when the FOR SALE board went up was very embarrassing for his wife, a mouse of a woman who I am told has finally plucked up the courage to leave the selfish, loud mouthed, shell suited, scouse git.
