Ok, an experts opinion, allbeit extremely biased.
First has anyone tested the flow rate and pressure of the mains, may not need doing if the water hits the sink and splashes over.
The only reason a new boiler cannot go somewhere handy to the old one is regs, if there's likely to be a problem with flueing, you don't want to be blowing a cloud at the neighbours for example.
Scottish regs are different to ours, but to quote ours you will need to upgrade the system, to fully pumped, and fit TRV's, room stat etc.
There is a real chance of problems with leaks, if the pipes are buried in concrete for example probably as high as 80%, and that includes the radiators, run a mirror along the bottom and backs of the rads for signs of rust.
Finally the reason for changing it, reliability, on that point alone I would mark a combi as 2/10, against a heat only boiler 8/10.
You haven't said what make model the old boiler is, but there's a saying which goes, "IF IT AIN'T BROKE DON'T FIX IT" depends what condition it's in, but you will never recover the cost of replacing a working boiler, upgrading the system and insulation would.
Would I fit a Combi, in my own house, Not a cat in hells chance, unless it was a top of the range, Broag, or Atmos.