Bob_Spidell
Yoda

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The reason for vacuum advance is to start the combustion process earlier at part throttle/light load; i.e. cruising at highway speeds. By starting combustion earlier, more power is generated for the same amount of fuel or, conversely, less fuel creates the same amount of power, which increases fuel efficiency (throttles can be a bit more closed at part throttle/light load to maintain same speed). You don't want additional advance at idle because, well, the engine is running slower (the combustion event duration does vary, depending on mixture, etc., but relatively less than engine speed). You don't want additional advance at wide-open throttle (WOT), since the load and combustion pressures are greater, which can cause detonation (aka ping or knock). If your vacuum advance isn't working, your highway mileage will be down (typically, a Big Healey should get 23-25MPG at 60MPH, depending on road grade, loading, atmospheric conditions, etc.). In short, the distributor's job is to time the spark event to maximize efficiency and power--both related--under various conditions of load, speed, etc. If the distributor isn't working properly you won't get the power, hence efficiency, that's possible (compared to modern, electronically controlled ignition systems, all distributors are defective).
As someone suggested, you should 'read' your plugs under various conditions and/or get some Colortunes to check your mixture. If mixture is correct, you might be losing fuel somewhere (a leak in a fuel line or joint might not be obvious). Or, if your engine is worn you'll be using more fuel to get reasonable performance. Have you checked your compression? In general, higher compression yields greater efficiency (up to a point).
As someone suggested, you should 'read' your plugs under various conditions and/or get some Colortunes to check your mixture. If mixture is correct, you might be losing fuel somewhere (a leak in a fuel line or joint might not be obvious). Or, if your engine is worn you'll be using more fuel to get reasonable performance. Have you checked your compression? In general, higher compression yields greater efficiency (up to a point).