Yes many (20 years ago) we had a heating system where the hot water would take about 30+ minutes to fill a bath.
The problem there though was the layout design, because the hot water tank was on the same level as the bath and obviously very little header pressure as it was a combination tank.
But when I moved into my own house and designed the layout of the new heating system although nothing fancy but the cold water header tank in the loft and hot water tank on the first floor and with the bath and plumbed-in shower unit being down stairs the hot water pressure was truly amazing.
Obviously the header tank is the crucial point because that is where the pressure is gained from, from gravity of the water filling the hot water tank.
However, and back to Combi vs Condenser boilers.
For me it's difficult to decide but if I had to make a decision I would say that of the two is the most "cost effective" would be the Combi boiler, however the Condenser has a lower carbon footprint, but that comes at a price.
My only dislike with my 10 year old combi boiler compared to new units is the need to have a pilot light burning 24/7, where newer units and Condenser units do not have that as it's operated electronically on a as and when required basis.
My point being that with a Combi or Condenser boiler you always have instant hot water without the need for a tank as and when you required, as I said earlier, by introducing a hot water cylinder you have done away with any cost saving and benefits of either a Combi or Condenser boiler.
Obviously it's your boiler and you know which type it is, but if you had not said it was a Condenser boiler, then by your initial description I would have been inclined to doubt what you had said and suggested you check it out, and next time "do not use that particular plumber"