I had the same starting problem, yesterday morning, with the Daytona.
The engine turned over, full of beans and with the normal enthusiasm, but it was as if she was getting no fuel.
I tried several times.
Then I wheeled the bike out of the garage (for a bit more room), sat aboard and gave it a good series of side-to-side shakes.
Then I tried again.
There was the same enthusiastic starter motor action, and then the engine, reluctantly at first, coughed in to life, and settled down to her normal three-cylinder song.
I took the Daytona for a 60-mile spin, and then rested up for a while – long enough for the block to get stone cold.
She started first time, and in her usual normal manner.
Sludge in the tank?
Blocked fuel line?
Dicky fuel pump?
Clogged fuel filter?
I think the problem is one – or possibly a combination – of these.
So on Wednesday she’s going in to Ramp and Wrench, to have the fuel tank drained, removed, fuel filter changed, and to have the fuel pipe given a blow-through.
The only possible fault this won’t pay attention to is the fuel pump, but if the problem happens again – after this – we’ll know where to look.
I had a similar problem with my Thunderbird when I first got it.
I changed the air filters; the spark plugs and the fuel line. I fitted a filter to the fuel line too, for good measure, but the problem still persisted.
Turned out to be the carbs: strip them down and clean ’em and all would be well for a few weeks, then the starting problem would start again.
In the end, I swapped the carbs out for some secondhand ones that I got for a reasonable price from ebay – funnily enough, they were from a Daytona – and I never had the problem again.