I found with a bath, it needs so much water, the cold water before the boiler heats up is not a problem, it just means you add less cold latter. As to filling time, you may watch and wait for 5 minutes, but as it gets to 20 minutes, one sets a reminder, so be it 15 or 30 minutes is really not difference, you run bath before it is wanted, as set a timer to remind one.
So it is really only the sink taps that matter, and likely the smaller the boiler and pipes, the quicker hot water arrives at the taps, at work we call it the price of a match, we have far bigger boilers, which actually boil water, on a heritage railway, but the problem is the same, cost to turn on the boiler, before you get any hot water,
If long heating time is the issue have you considered moving the boiler closer to the most frequently used taps?
Very good advice, also idea of a local heating device for remote taps, I used the boiler for DHW, I had been told in my case, oil is cheaper than electric, well it is, but what we are looking at is the waste. It to get 1 litre of hot water, you run off 4 litres first, then you have wasted 4 litres of heat, which will be left in the pipes cooling, and also heating your home, winter not a problem want home warm, summer you may need to run an AC so you are not only paying to heat the water but also paying to cool it as well.
In my case, I had an iboost+ fitted to my immersion heater, which logged how much electric used, typical week around 3 kWh, my boiler is 20 kW, it does not modulate, and I would run it three times a week, around 20 minutes a time, around 25 kWh, clearly for me electric is cheaper. It will depend on the house, but I feel when we have the kitchen done, an under sink 5 litre electric water heater will both save money and reduce the wait for hot water.
As said my boiler is simple on/off, so my TRV head reports a massive hysteresis, the minium output is important, if your boiler can modulate enough, you will get a smooth line, but if it needs to cycle then a hysteresis, and most of the time one only needs a small amount of heat to maintain the temperature, so the lower it can go the better.
I personally would not go down the combi route, unless you need the room.