It is a foregone conclusion though.
As other posters have said acceleration on the trams is far superior to the diesel trains the line has currently and the chance of electrification is minimal, so trams would likely be faster. However to be generous I will use the existing timings from Daisy Hill.
Daisy Hill->Salford Crescent 26 minutes
Salford Crescent->Man Vic 9 minutes
Man Vic->Man Picc 19 minutes walk (could do faster if you get the public transport connection right).
So Daisy Hill to Piccadilly adds up to 54 minutes.
On the tram we'll assume the same timings (although realistically it'd save time) and then coming off in the Salford area?
So Daisy Hill-Salford Crescent 26 minutes
Salford Crescent->Deansgate is an unknown but we can assume whatever alignment is chosen it'd take less than 19 minutes - it's a distance of about a mile and a half.
Deansgate-Man Picc 9 mins
So if the tram takes 18 minutes or less - ignoring the acceleration capabilities - it's faster than the train.
And of course this creates an important direct journey - or is a direct journey to Piccadilly less important for Atherton residents than a direct journey to Leeds?
It's maybe also worth bearing in mind that despite a relatively frequent service the stations are very underused - the line clearly isn't serving its local communities well. Something needs to change for that.
Finally, I think there are toilets at Piccadilly